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Finding the Fourth Proportional to 157,817.03, 217,787.49 and 86,197.22

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Solution

The fourth proportional to 157,817.03, 217,787.49 and 86,197.22 is: 118,952.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,817.03 : 217,787.49 = 86,197.22 : x
  2. Step 2: Convert to fraction form
    157,817.03/217,787.49 = 86,197.22/x
  3. Step 3: Cross multiply
    157,817.03x = 217,787.49 × 86,197.22
  4. Step 4: Simplify right side
    157,817.03x = 18,772,675,546.45
  5. Step 5: Solve for x
    x = 18,772,675,546.45/157,817.03
  6. Step 6: Final answer
    x = 118,952.16

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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.