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Finding the Fourth Proportional to 157,817.19, 217,787.72 and 86,197.38

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Solution

The fourth proportional to 157,817.19, 217,787.72 and 86,197.38 is: 118,952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,817.19 : 217,787.72 = 86,197.38 : x
  2. Step 2: Convert to fraction form
    157,817.19/217,787.72 = 86,197.38/x
  3. Step 3: Cross multiply
    157,817.19x = 217,787.72 × 86,197.38
  4. Step 4: Simplify right side
    157,817.19x = 18,772,730,429.19
  5. Step 5: Solve for x
    x = 18,772,730,429.19/157,817.19
  6. Step 6: Final answer
    x = 118,952.38

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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.