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Finding the Fourth Proportional to 178,472.34, 246,250.53 and 106,825.14

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Solution

The fourth proportional to 178,472.34, 246,250.53 and 106,825.14 is: 147,393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,472.34 : 246,250.53 = 106,825.14 : x
  2. Step 2: Convert to fraction form
    178,472.34/246,250.53 = 106,825.14/x
  3. Step 3: Cross multiply
    178,472.34x = 246,250.53 × 106,825.14
  4. Step 4: Simplify right side
    178,472.34x = 26,305,747,342.32
  5. Step 5: Solve for x
    x = 26,305,747,342.32/178,472.34
  6. Step 6: Final answer
    x = 147,393.97

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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.