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Finding the Fourth Proportional to 157,218.42, 216,961.31 and 85,598.43

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Solution

The fourth proportional to 157,218.42, 216,961.31 and 85,598.43 is: 118,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,218.42 : 216,961.31 = 85,598.43 : x
  2. Step 2: Convert to fraction form
    157,218.42/216,961.31 = 85,598.43/x
  3. Step 3: Cross multiply
    157,218.42x = 216,961.31 × 85,598.43
  4. Step 4: Simplify right side
    157,218.42x = 18,571,548,191.90
  5. Step 5: Solve for x
    x = 18,571,548,191.90/157,218.42
  6. Step 6: Final answer
    x = 118,125.78

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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.