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Finding the Fourth Proportional to 178,112.71, 245,793.69 and 96,439.56

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Solution

The fourth proportional to 178,112.71, 245,793.69 and 96,439.56 is: 133,085.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,112.71 : 245,793.69 = 96,439.56 : x
  2. Step 2: Convert to fraction form
    178,112.71/245,793.69 = 96,439.56/x
  3. Step 3: Cross multiply
    178,112.71x = 245,793.69 × 96,439.56
  4. Step 4: Simplify right side
    178,112.71x = 23,704,235,314.38
  5. Step 5: Solve for x
    x = 23,704,235,314.38/178,112.71
  6. Step 6: Final answer
    x = 133,085.59

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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.