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Finding the Fourth Proportional to 130,397.50, 195,596.25 and 71,200.88

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Solution

The fourth proportional to 130,397.50, 195,596.25 and 71,200.88 is: 106,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,397.50 : 195,596.25 = 71,200.88 : x
  2. Step 2: Convert to fraction form
    130,397.50/195,596.25 = 71,200.88/x
  3. Step 3: Cross multiply
    130,397.50x = 195,596.25 × 71,200.88
  4. Step 4: Simplify right side
    130,397.50x = 13,926,625,013.71
  5. Step 5: Solve for x
    x = 13,926,625,013.71/130,397.50
  6. Step 6: Final answer
    x = 106,801.32

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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.