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Finding the Fourth Proportional to 178,245.12, 245,954.92 and 106,599

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Solution

The fourth proportional to 178,245.12, 245,954.92 and 106,599 is: 147,092.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,245.12 : 245,954.92 = 106,599 : x
  2. Step 2: Convert to fraction form
    178,245.12/245,954.92 = 106,599/x
  3. Step 3: Cross multiply
    178,245.12x = 245,954.92 × 106,599
  4. Step 4: Simplify right side
    178,245.12x = 26,218,548,517.08
  5. Step 5: Solve for x
    x = 26,218,548,517.08/178,245.12
  6. Step 6: Final answer
    x = 147,092.66

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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.