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Finding the Fourth Proportional to 157,662.19, 217,578.44 and 86,046.80

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Solution

The fourth proportional to 157,662.19, 217,578.44 and 86,046.80 is: 118,747.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,662.19 : 217,578.44 = 86,046.80 : x
  2. Step 2: Convert to fraction form
    157,662.19/217,578.44 = 86,046.80/x
  3. Step 3: Cross multiply
    157,662.19x = 217,578.44 × 86,046.80
  4. Step 4: Simplify right side
    157,662.19x = 18,721,928,624.70
  5. Step 5: Solve for x
    x = 18,721,928,624.70/157,662.19
  6. Step 6: Final answer
    x = 118,747.11

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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.