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Finding the Fourth Proportional to 157,622.97, 217,519.38 and 86,002.95

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Solution

The fourth proportional to 157,622.97, 217,519.38 and 86,002.95 is: 118,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,622.97 : 217,519.38 = 86,002.95 : x
  2. Step 2: Convert to fraction form
    157,622.97/217,519.38 = 86,002.95/x
  3. Step 3: Cross multiply
    157,622.97x = 217,519.38 × 86,002.95
  4. Step 4: Simplify right side
    157,622.97x = 18,707,308,362.17
  5. Step 5: Solve for x
    x = 18,707,308,362.17/157,622.97
  6. Step 6: Final answer
    x = 118,683.90

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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.