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Finding the Fourth Proportional to 345,156, 517,734 and 95,838.24

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Solution

The fourth proportional to 345,156, 517,734 and 95,838.24 is: 143,757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,156 : 517,734 = 95,838.24 : x
  2. Step 2: Convert to fraction form
    345,156/517,734 = 95,838.24/x
  3. Step 3: Cross multiply
    345,156x = 517,734 × 95,838.24
  4. Step 4: Simplify right side
    345,156x = 49,618,715,348.16
  5. Step 5: Solve for x
    x = 49,618,715,348.16/345,156
  6. Step 6: Final answer
    x = 143,757.36

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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.