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Finding the Fourth Proportional to 157,013.64, 216,677.30 and 85,394.25

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Solution

The fourth proportional to 157,013.64, 216,677.30 and 85,394.25 is: 117,843.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,013.64 : 216,677.30 = 85,394.25 : x
  2. Step 2: Convert to fraction form
    157,013.64/216,677.30 = 85,394.25/x
  3. Step 3: Cross multiply
    157,013.64x = 216,677.30 × 85,394.25
  4. Step 4: Simplify right side
    157,013.64x = 18,502,995,098.55
  5. Step 5: Solve for x
    x = 18,502,995,098.55/157,013.64
  6. Step 6: Final answer
    x = 117,843.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.