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Finding the Fourth Proportional to 100,961.80, 151,442.70 and 99,649.60

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Solution

The fourth proportional to 100,961.80, 151,442.70 and 99,649.60 is: 149,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,961.80 : 151,442.70 = 99,649.60 : x
  2. Step 2: Convert to fraction form
    100,961.80/151,442.70 = 99,649.60/x
  3. Step 3: Cross multiply
    100,961.80x = 151,442.70 × 99,649.60
  4. Step 4: Simplify right side
    100,961.80x = 15,091,204,477.92
  5. Step 5: Solve for x
    x = 15,091,204,477.92/100,961.80
  6. Step 6: Final answer
    x = 149,474.40

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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.