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Finding the Fourth Proportional to 378,098.57, 567,204.22 and 134,920.70

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Solution

The fourth proportional to 378,098.57, 567,204.22 and 134,920.70 is: 202,401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,098.57 : 567,204.22 = 134,920.70 : x
  2. Step 2: Convert to fraction form
    378,098.57/567,204.22 = 134,920.70/x
  3. Step 3: Cross multiply
    378,098.57x = 567,204.22 × 134,920.70
  4. Step 4: Simplify right side
    378,098.57x = 76,527,592,328.81
  5. Step 5: Solve for x
    x = 76,527,592,328.81/378,098.57
  6. Step 6: Final answer
    x = 202,401.17

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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.