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Finding the Fourth Proportional to 157,292.20, 217,055.82 and 85,672

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Solution

The fourth proportional to 157,292.20, 217,055.82 and 85,672 is: 118,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,292.20 : 217,055.82 = 85,672 : x
  2. Step 2: Convert to fraction form
    157,292.20/217,055.82 = 85,672/x
  3. Step 3: Cross multiply
    157,292.20x = 217,055.82 × 85,672
  4. Step 4: Simplify right side
    157,292.20x = 18,595,606,211.04
  5. Step 5: Solve for x
    x = 18,595,606,211.04/157,292.20
  6. Step 6: Final answer
    x = 118,223.32

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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.