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Finding the Fourth Proportional to 178,470.84, 246,248.46 and 106,823.64

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Solution

The fourth proportional to 178,470.84, 246,248.46 and 106,823.64 is: 147,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,470.84 : 246,248.46 = 106,823.64 : x
  2. Step 2: Convert to fraction form
    178,470.84/246,248.46 = 106,823.64/x
  3. Step 3: Cross multiply
    178,470.84x = 246,248.46 × 106,823.64
  4. Step 4: Simplify right side
    178,470.84x = 26,305,156,841.59
  5. Step 5: Solve for x
    x = 26,305,156,841.59/178,470.84
  6. Step 6: Final answer
    x = 147,391.90

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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.