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Finding the Fourth Proportional to 102,224.85, 141,074.37 and 61,915.88

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Solution

The fourth proportional to 102,224.85, 141,074.37 and 61,915.88 is: 85,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,224.85 : 141,074.37 = 61,915.88 : x
  2. Step 2: Convert to fraction form
    102,224.85/141,074.37 = 61,915.88/x
  3. Step 3: Cross multiply
    102,224.85x = 141,074.37 × 61,915.88
  4. Step 4: Simplify right side
    102,224.85x = 8,734,743,058.62
  5. Step 5: Solve for x
    x = 8,734,743,058.62/102,224.85
  6. Step 6: Final answer
    x = 85,446.38

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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.