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Finding the Fourth Proportional to 187,951.92, 281,929.71 and 150,463.11

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Solution

The fourth proportional to 187,951.92, 281,929.71 and 150,463.11 is: 225,696.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,951.92 : 281,929.71 = 150,463.11 : x
  2. Step 2: Convert to fraction form
    187,951.92/281,929.71 = 150,463.11/x
  3. Step 3: Cross multiply
    187,951.92x = 281,929.71 × 150,463.11
  4. Step 4: Simplify right side
    187,951.92x = 42,420,020,968.00
  5. Step 5: Solve for x
    x = 42,420,020,968.00/187,951.92
  6. Step 6: Final answer
    x = 225,696.13

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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.