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Finding the Fourth Proportional to 132,876, 199,314.72 and 34,380

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Solution

The fourth proportional to 132,876, 199,314.72 and 34,380 is: 51,570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,876 : 199,314.72 = 34,380 : x
  2. Step 2: Convert to fraction form
    132,876/199,314.72 = 34,380/x
  3. Step 3: Cross multiply
    132,876x = 199,314.72 × 34,380
  4. Step 4: Simplify right side
    132,876x = 6,852,440,073.60
  5. Step 5: Solve for x
    x = 6,852,440,073.60/132,876
  6. Step 6: Final answer
    x = 51,570.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.