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Finding the Fourth Proportional to 132,916.52, 199,385.58 and 39,422

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Solution

The fourth proportional to 132,916.52, 199,385.58 and 39,422 is: 59,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,916.52 : 199,385.58 = 39,422 : x
  2. Step 2: Convert to fraction form
    132,916.52/199,385.58 = 39,422/x
  3. Step 3: Cross multiply
    132,916.52x = 199,385.58 × 39,422
  4. Step 4: Simplify right side
    132,916.52x = 7,860,178,334.76
  5. Step 5: Solve for x
    x = 7,860,178,334.76/132,916.52
  6. Step 6: Final answer
    x = 59,136.20

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