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Finding the Fourth Proportional to 157,436.64, 217,259.76 and 85,817.28

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Solution

The fourth proportional to 157,436.64, 217,259.76 and 85,817.28 is: 118,426.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,436.64 : 217,259.76 = 85,817.28 : x
  2. Step 2: Convert to fraction form
    157,436.64/217,259.76 = 85,817.28/x
  3. Step 3: Cross multiply
    157,436.64x = 217,259.76 × 85,817.28
  4. Step 4: Simplify right side
    157,436.64x = 18,644,641,656.65
  5. Step 5: Solve for x
    x = 18,644,641,656.65/157,436.64
  6. Step 6: Final answer
    x = 118,426.32

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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.