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Finding the Fourth Proportional to 102,224.35, 141,073.68 and 61,915.38

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Solution

The fourth proportional to 102,224.35, 141,073.68 and 61,915.38 is: 85,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,224.35 : 141,073.68 = 61,915.38 : x
  2. Step 2: Convert to fraction form
    102,224.35/141,073.68 = 61,915.38/x
  3. Step 3: Cross multiply
    102,224.35x = 141,073.68 × 61,915.38
  4. Step 4: Simplify right side
    102,224.35x = 8,734,630,505.20
  5. Step 5: Solve for x
    x = 8,734,630,505.20/102,224.35
  6. Step 6: Final answer
    x = 85,445.69

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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.