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Finding the Fourth Proportional to 148,497.76, 204,936.24 and 81,429.76

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Solution

The fourth proportional to 148,497.76, 204,936.24 and 81,429.76 is: 112,378.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,497.76 : 204,936.24 = 81,429.76 : x
  2. Step 2: Convert to fraction form
    148,497.76/204,936.24 = 81,429.76/x
  3. Step 3: Cross multiply
    148,497.76x = 204,936.24 × 81,429.76
  4. Step 4: Simplify right side
    148,497.76x = 16,687,908,838.50
  5. Step 5: Solve for x
    x = 16,687,908,838.50/148,497.76
  6. Step 6: Final answer
    x = 112,378.19

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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.