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Finding the Fourth Proportional to 157,114.46, 216,818 and 85,494.76

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Solution

The fourth proportional to 157,114.46, 216,818 and 85,494.76 is: 117,982.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,114.46 : 216,818 = 85,494.76 : x
  2. Step 2: Convert to fraction form
    157,114.46/216,818 = 85,494.76/x
  3. Step 3: Cross multiply
    157,114.46x = 216,818 × 85,494.76
  4. Step 4: Simplify right side
    157,114.46x = 18,536,802,873.68
  5. Step 5: Solve for x
    x = 18,536,802,873.68/157,114.46
  6. Step 6: Final answer
    x = 117,982.79

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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.