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Finding the Fourth Proportional to 113,821.44, 157,073.82 and 62,834.24

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Solution

The fourth proportional to 113,821.44, 157,073.82 and 62,834.24 is: 86,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,821.44 : 157,073.82 = 62,834.24 : x
  2. Step 2: Convert to fraction form
    113,821.44/157,073.82 = 62,834.24/x
  3. Step 3: Cross multiply
    113,821.44x = 157,073.82 × 62,834.24
  4. Step 4: Simplify right side
    113,821.44x = 9,869,613,752.64
  5. Step 5: Solve for x
    x = 9,869,613,752.64/113,821.44
  6. Step 6: Final answer
    x = 86,711.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.