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Finding the Fourth Proportional to 247,901.92, 342,091.56 and 140,473.24

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Solution

The fourth proportional to 247,901.92, 342,091.56 and 140,473.24 is: 193,845.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,901.92 : 342,091.56 = 140,473.24 : x
  2. Step 2: Convert to fraction form
    247,901.92/342,091.56 = 140,473.24/x
  3. Step 3: Cross multiply
    247,901.92x = 342,091.56 × 140,473.24
  4. Step 4: Simplify right side
    247,901.92x = 48,054,709,809.85
  5. Step 5: Solve for x
    x = 48,054,709,809.85/247,901.92
  6. Step 6: Final answer
    x = 193,845.65

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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.