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Finding the Fourth Proportional to 242,126.46, 363,248.01 and 75,914.46

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Solution

The fourth proportional to 242,126.46, 363,248.01 and 75,914.46 is: 113,889.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,126.46 : 363,248.01 = 75,914.46 : x
  2. Step 2: Convert to fraction form
    242,126.46/363,248.01 = 75,914.46/x
  3. Step 3: Cross multiply
    242,126.46x = 363,248.01 × 75,914.46
  4. Step 4: Simplify right side
    242,126.46x = 27,575,776,525.22
  5. Step 5: Solve for x
    x = 27,575,776,525.22/242,126.46
  6. Step 6: Final answer
    x = 113,889.98

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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.