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Finding the Fourth Proportional to 157,066.27, 216,751.76 and 85,446.61

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Solution

The fourth proportional to 157,066.27, 216,751.76 and 85,446.61 is: 117,916.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,066.27 : 216,751.76 = 85,446.61 : x
  2. Step 2: Convert to fraction form
    157,066.27/216,751.76 = 85,446.61/x
  3. Step 3: Cross multiply
    157,066.27x = 216,751.76 × 85,446.61
  4. Step 4: Simplify right side
    157,066.27x = 18,520,703,103.53
  5. Step 5: Solve for x
    x = 18,520,703,103.53/157,066.27
  6. Step 6: Final answer
    x = 117,916.49

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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.