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Finding the Fourth Proportional to 100,897,409.80, 151,346,114.70 and 75,388,241.80

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Solution

The fourth proportional to 100,897,409.80, 151,346,114.70 and 75,388,241.80 is: 113,082,362.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,897,409.80 : 151,346,114.70 = 75,388,241.80 : x
  2. Step 2: Convert to fraction form
    100,897,409.80/151,346,114.70 = 75,388,241.80/x
  3. Step 3: Cross multiply
    100,897,409.80x = 151,346,114.70 × 75,388,241.80
  4. Step 4: Simplify right side
    100,897,409.80x = 11,409,717,490,494,134
  5. Step 5: Solve for x
    x = 11,409,717,490,494,134/100,897,409.80
  6. Step 6: Final answer
    x = 113,082,362.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.