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Finding the Fourth Proportional to 253,092.91, 349,337.52 and 157,542.88

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Solution

The fourth proportional to 253,092.91, 349,337.52 and 157,542.88 is: 217,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,092.91 : 349,337.52 = 157,542.88 : x
  2. Step 2: Convert to fraction form
    253,092.91/349,337.52 = 157,542.88/x
  3. Step 3: Cross multiply
    253,092.91x = 349,337.52 × 157,542.88
  4. Step 4: Simplify right side
    253,092.91x = 55,035,636,458.46
  5. Step 5: Solve for x
    x = 55,035,636,458.46/253,092.91
  6. Step 6: Final answer
    x = 217,452.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.