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Finding the Fourth Proportional to 148,151.68, 204,454.20 and 81,083.68

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Solution

The fourth proportional to 148,151.68, 204,454.20 and 81,083.68 is: 111,898.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,151.68 : 204,454.20 = 81,083.68 : x
  2. Step 2: Convert to fraction form
    148,151.68/204,454.20 = 81,083.68/x
  3. Step 3: Cross multiply
    148,151.68x = 204,454.20 × 81,083.68
  4. Step 4: Simplify right side
    148,151.68x = 16,577,898,927.46
  5. Step 5: Solve for x
    x = 16,577,898,927.46/148,151.68
  6. Step 6: Final answer
    x = 111,898.15

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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.