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Finding the Fourth Proportional to 185,807.52, 278,907.84 and 115,734.96

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Solution

The fourth proportional to 185,807.52, 278,907.84 and 115,734.96 is: 173,724.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,807.52 : 278,907.84 = 115,734.96 : x
  2. Step 2: Convert to fraction form
    185,807.52/278,907.84 = 115,734.96/x
  3. Step 3: Cross multiply
    185,807.52x = 278,907.84 × 115,734.96
  4. Step 4: Simplify right side
    185,807.52x = 32,279,387,706.09
  5. Step 5: Solve for x
    x = 32,279,387,706.09/185,807.52
  6. Step 6: Final answer
    x = 173,724.87

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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.