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Finding the Fourth Proportional to 133,795.80, 200,713.14 and 71,432.28

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Solution

The fourth proportional to 133,795.80, 200,713.14 and 71,432.28 is: 107,158.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,795.80 : 200,713.14 = 71,432.28 : x
  2. Step 2: Convert to fraction form
    133,795.80/200,713.14 = 71,432.28/x
  3. Step 3: Cross multiply
    133,795.80x = 200,713.14 × 71,432.28
  4. Step 4: Simplify right side
    133,795.80x = 14,337,397,216.16
  5. Step 5: Solve for x
    x = 14,337,397,216.16/133,795.80
  6. Step 6: Final answer
    x = 107,158.80

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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.