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Finding the Fourth Proportional to 502,057.31, 753,110.18 and 165,090.50

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Solution

The fourth proportional to 502,057.31, 753,110.18 and 165,090.50 is: 247,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,057.31 : 753,110.18 = 165,090.50 : x
  2. Step 2: Convert to fraction form
    502,057.31/753,110.18 = 165,090.50/x
  3. Step 3: Cross multiply
    502,057.31x = 753,110.18 × 165,090.50
  4. Step 4: Simplify right side
    502,057.31x = 124,331,339,724.10
  5. Step 5: Solve for x
    x = 124,331,339,724.10/502,057.31
  6. Step 6: Final answer
    x = 247,643.72

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