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Finding the Fourth Proportional to 176,821.92, 244,017.36 and 96,251.76

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Solution

The fourth proportional to 176,821.92, 244,017.36 and 96,251.76 is: 132,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,821.92 : 244,017.36 = 96,251.76 : x
  2. Step 2: Convert to fraction form
    176,821.92/244,017.36 = 96,251.76/x
  3. Step 3: Cross multiply
    176,821.92x = 244,017.36 × 96,251.76
  4. Step 4: Simplify right side
    176,821.92x = 23,487,100,370.55
  5. Step 5: Solve for x
    x = 23,487,100,370.55/176,821.92
  6. Step 6: Final answer
    x = 132,829.12

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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.