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Finding the Fourth Proportional to 378,332, 567,439.68 and 125,722.16

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Solution

The fourth proportional to 378,332, 567,439.68 and 125,722.16 is: 188,563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,332 : 567,439.68 = 125,722.16 : x
  2. Step 2: Convert to fraction form
    378,332/567,439.68 = 125,722.16/x
  3. Step 3: Cross multiply
    378,332x = 567,439.68 × 125,722.16
  4. Step 4: Simplify right side
    378,332x = 71,339,742,239.31
  5. Step 5: Solve for x
    x = 71,339,742,239.31/378,332
  6. Step 6: Final answer
    x = 188,563.86

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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.