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Finding the Fourth Proportional to 157,544.38, 217,408.62 and 85,920.13

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Solution

The fourth proportional to 157,544.38, 217,408.62 and 85,920.13 is: 118,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,544.38 : 217,408.62 = 85,920.13 : x
  2. Step 2: Convert to fraction form
    157,544.38/217,408.62 = 85,920.13/x
  3. Step 3: Cross multiply
    157,544.38x = 217,408.62 × 85,920.13
  4. Step 4: Simplify right side
    157,544.38x = 18,679,776,893.52
  5. Step 5: Solve for x
    x = 18,679,776,893.52/157,544.38
  6. Step 6: Final answer
    x = 118,568.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.