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Finding the Fourth Proportional to 189,753.66, 284,597.52 and 71,425.92

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Solution

The fourth proportional to 189,753.66, 284,597.52 and 71,425.92 is: 107,126.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,753.66 : 284,597.52 = 71,425.92 : x
  2. Step 2: Convert to fraction form
    189,753.66/284,597.52 = 71,425.92/x
  3. Step 3: Cross multiply
    189,753.66x = 284,597.52 × 71,425.92
  4. Step 4: Simplify right side
    189,753.66x = 20,327,639,695.72
  5. Step 5: Solve for x
    x = 20,327,639,695.72/189,753.66
  6. Step 6: Final answer
    x = 107,126.47

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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.