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Finding the Fourth Proportional to 157,475.43, 217,314 and 85,855.32

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Solution

The fourth proportional to 157,475.43, 217,314 and 85,855.32 is: 118,479.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,475.43 : 217,314 = 85,855.32 : x
  2. Step 2: Convert to fraction form
    157,475.43/217,314 = 85,855.32/x
  3. Step 3: Cross multiply
    157,475.43x = 217,314 × 85,855.32
  4. Step 4: Simplify right side
    157,475.43x = 18,657,563,010.48
  5. Step 5: Solve for x
    x = 18,657,563,010.48/157,475.43
  6. Step 6: Final answer
    x = 118,479.20

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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.