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Finding the Fourth Proportional to 148,963.74, 223,375.23 and 54,127.82

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Solution

The fourth proportional to 148,963.74, 223,375.23 and 54,127.82 is: 81,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,963.74 : 223,375.23 = 54,127.82 : x
  2. Step 2: Convert to fraction form
    148,963.74/223,375.23 = 54,127.82/x
  3. Step 3: Cross multiply
    148,963.74x = 223,375.23 × 54,127.82
  4. Step 4: Simplify right side
    148,963.74x = 12,090,813,125.02
  5. Step 5: Solve for x
    x = 12,090,813,125.02/148,963.74
  6. Step 6: Final answer
    x = 81,166.15

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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.