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Finding the Fourth Proportional to 392,107.92, 588,106.32 and 125,834.08

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Solution

The fourth proportional to 392,107.92, 588,106.32 and 125,834.08 is: 188,733.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,107.92 : 588,106.32 = 125,834.08 : x
  2. Step 2: Convert to fraction form
    392,107.92/588,106.32 = 125,834.08/x
  3. Step 3: Cross multiply
    392,107.92x = 588,106.32 × 125,834.08
  4. Step 4: Simplify right side
    392,107.92x = 74,003,817,719.39
  5. Step 5: Solve for x
    x = 74,003,817,719.39/392,107.92
  6. Step 6: Final answer
    x = 188,733.29

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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.