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Finding the Fourth Proportional to 157,538.74, 217,408.74 and 85,922.68

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Solution

The fourth proportional to 157,538.74, 217,408.74 and 85,922.68 is: 118,576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,538.74 : 217,408.74 = 85,922.68 : x
  2. Step 2: Convert to fraction form
    157,538.74/217,408.74 = 85,922.68/x
  3. Step 3: Cross multiply
    157,538.74x = 217,408.74 × 85,922.68
  4. Step 4: Simplify right side
    157,538.74x = 18,680,341,596.22
  5. Step 5: Solve for x
    x = 18,680,341,596.22/157,538.74
  6. Step 6: Final answer
    x = 118,576.18

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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.