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Finding the Fourth Proportional to 475,166.52, 712,794.81 and 133,609.20

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Solution

The fourth proportional to 475,166.52, 712,794.81 and 133,609.20 is: 200,426.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,166.52 : 712,794.81 = 133,609.20 : x
  2. Step 2: Convert to fraction form
    475,166.52/712,794.81 = 133,609.20/x
  3. Step 3: Cross multiply
    475,166.52x = 712,794.81 × 133,609.20
  4. Step 4: Simplify right side
    475,166.52x = 95,235,944,328.25
  5. Step 5: Solve for x
    x = 95,235,944,328.25/475,166.52
  6. Step 6: Final answer
    x = 200,426.46

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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.