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Finding the Fourth Proportional to 178,141.96, 245,839.89 and 101,659.53

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Solution

The fourth proportional to 178,141.96, 245,839.89 and 101,659.53 is: 140,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,141.96 : 245,839.89 = 101,659.53 : x
  2. Step 2: Convert to fraction form
    178,141.96/245,839.89 = 101,659.53/x
  3. Step 3: Cross multiply
    178,141.96x = 245,839.89 × 101,659.53
  4. Step 4: Simplify right side
    178,141.96x = 24,991,967,164.35
  5. Step 5: Solve for x
    x = 24,991,967,164.35/178,141.96
  6. Step 6: Final answer
    x = 140,292.42

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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.