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Finding the Fourth Proportional to 123,482.43, 185,251.71 and 52,407.66

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Solution

The fourth proportional to 123,482.43, 185,251.71 and 52,407.66 is: 78,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,482.43 : 185,251.71 = 52,407.66 : x
  2. Step 2: Convert to fraction form
    123,482.43/185,251.71 = 52,407.66/x
  3. Step 3: Cross multiply
    123,482.43x = 185,251.71 × 52,407.66
  4. Step 4: Simplify right side
    123,482.43x = 9,708,608,632.10
  5. Step 5: Solve for x
    x = 9,708,608,632.10/123,482.43
  6. Step 6: Final answer
    x = 78,623.40

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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.