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Finding the Fourth Proportional to 152,706.52, 229,149.42 and 63,953.20

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Solution

The fourth proportional to 152,706.52, 229,149.42 and 63,953.20 is: 95,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,706.52 : 229,149.42 = 63,953.20 : x
  2. Step 2: Convert to fraction form
    152,706.52/229,149.42 = 63,953.20/x
  3. Step 3: Cross multiply
    152,706.52x = 229,149.42 × 63,953.20
  4. Step 4: Simplify right side
    152,706.52x = 14,654,838,687.14
  5. Step 5: Solve for x
    x = 14,654,838,687.14/152,706.52
  6. Step 6: Final answer
    x = 95,967.34

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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.