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Finding the Fourth Proportional to 157,702.36, 217,634.40 and 86,086.20

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Solution

The fourth proportional to 157,702.36, 217,634.40 and 86,086.20 is: 118,801.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,702.36 : 217,634.40 = 86,086.20 : x
  2. Step 2: Convert to fraction form
    157,702.36/217,634.40 = 86,086.20/x
  3. Step 3: Cross multiply
    157,702.36x = 217,634.40 × 86,086.20
  4. Step 4: Simplify right side
    157,702.36x = 18,735,318,485.28
  5. Step 5: Solve for x
    x = 18,735,318,485.28/157,702.36
  6. Step 6: Final answer
    x = 118,801.76

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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.