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Finding the Fourth Proportional to 157,883.53, 217,878.89 and 86,264.09

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Solution

The fourth proportional to 157,883.53, 217,878.89 and 86,264.09 is: 119,044.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,883.53 : 217,878.89 = 86,264.09 : x
  2. Step 2: Convert to fraction form
    157,883.53/217,878.89 = 86,264.09/x
  3. Step 3: Cross multiply
    157,883.53x = 217,878.89 × 86,264.09
  4. Step 4: Simplify right side
    157,883.53x = 18,795,123,744.74
  5. Step 5: Solve for x
    x = 18,795,123,744.74/157,883.53
  6. Step 6: Final answer
    x = 119,044.24

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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.