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Finding the Fourth Proportional to 108,284.65, 149,433.15 and 60,538

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Solution

The fourth proportional to 108,284.65, 149,433.15 and 60,538 is: 83,542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,284.65 : 149,433.15 = 60,538 : x
  2. Step 2: Convert to fraction form
    108,284.65/149,433.15 = 60,538/x
  3. Step 3: Cross multiply
    108,284.65x = 149,433.15 × 60,538
  4. Step 4: Simplify right side
    108,284.65x = 9,046,384,034.70
  5. Step 5: Solve for x
    x = 9,046,384,034.70/108,284.65
  6. Step 6: Final answer
    x = 83,542.63

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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.