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Finding the Fourth Proportional to 157,752.81, 217,698.03 and 86,132.88

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Solution

The fourth proportional to 157,752.81, 217,698.03 and 86,132.88 is: 118,862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,752.81 : 217,698.03 = 86,132.88 : x
  2. Step 2: Convert to fraction form
    157,752.81/217,698.03 = 86,132.88/x
  3. Step 3: Cross multiply
    157,752.81x = 217,698.03 × 86,132.88
  4. Step 4: Simplify right side
    157,752.81x = 18,750,958,294.23
  5. Step 5: Solve for x
    x = 18,750,958,294.23/157,752.81
  6. Step 6: Final answer
    x = 118,862.91

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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.