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Finding the Fourth Proportional to 123,740.16, 185,623.20 and 61,393.92

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Solution

The fourth proportional to 123,740.16, 185,623.20 and 61,393.92 is: 92,097.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,740.16 : 185,623.20 = 61,393.92 : x
  2. Step 2: Convert to fraction form
    123,740.16/185,623.20 = 61,393.92/x
  3. Step 3: Cross multiply
    123,740.16x = 185,623.20 × 61,393.92
  4. Step 4: Simplify right side
    123,740.16x = 11,396,135,890.94
  5. Step 5: Solve for x
    x = 11,396,135,890.94/123,740.16
  6. Step 6: Final answer
    x = 92,097.31

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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.