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Finding the Fourth Proportional to 157,277.46, 217,045.36 and 85,657.42

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Solution

The fourth proportional to 157,277.46, 217,045.36 and 85,657.42 is: 118,208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,277.46 : 217,045.36 = 85,657.42 : x
  2. Step 2: Convert to fraction form
    157,277.46/217,045.36 = 85,657.42/x
  3. Step 3: Cross multiply
    157,277.46x = 217,045.36 × 85,657.42
  4. Step 4: Simplify right side
    157,277.46x = 18,591,545,132.28
  5. Step 5: Solve for x
    x = 18,591,545,132.28/157,277.46
  6. Step 6: Final answer
    x = 118,208.58

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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.