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Finding the Fourth Proportional to 123,468.92, 185,199.24 and 52,345.79

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Solution

The fourth proportional to 123,468.92, 185,199.24 and 52,345.79 is: 78,516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,468.92 : 185,199.24 = 52,345.79 : x
  2. Step 2: Convert to fraction form
    123,468.92/185,199.24 = 52,345.79/x
  3. Step 3: Cross multiply
    123,468.92x = 185,199.24 × 52,345.79
  4. Step 4: Simplify right side
    123,468.92x = 9,694,400,490.00
  5. Step 5: Solve for x
    x = 9,694,400,490.00/123,468.92
  6. Step 6: Final answer
    x = 78,516.93

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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.