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Finding the Fourth Proportional to 275,740.96, 413,293.92 and 157,497.16

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Solution

The fourth proportional to 275,740.96, 413,293.92 and 157,497.16 is: 236,064.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,740.96 : 413,293.92 = 157,497.16 : x
  2. Step 2: Convert to fraction form
    275,740.96/413,293.92 = 157,497.16/x
  3. Step 3: Cross multiply
    275,740.96x = 413,293.92 × 157,497.16
  4. Step 4: Simplify right side
    275,740.96x = 65,092,618,645.27
  5. Step 5: Solve for x
    x = 65,092,618,645.27/275,740.96
  6. Step 6: Final answer
    x = 236,064.38

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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.