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Finding the Fourth Proportional to 132,569.75, 182,915.94 and 75,195.38

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Solution

The fourth proportional to 132,569.75, 182,915.94 and 75,195.38 is: 103,752.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,569.75 : 182,915.94 = 75,195.38 : x
  2. Step 2: Convert to fraction form
    132,569.75/182,915.94 = 75,195.38/x
  3. Step 3: Cross multiply
    132,569.75x = 182,915.94 × 75,195.38
  4. Step 4: Simplify right side
    132,569.75x = 13,754,433,616.36
  5. Step 5: Solve for x
    x = 13,754,433,616.36/132,569.75
  6. Step 6: Final answer
    x = 103,752.43

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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.