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Finding the Fourth Proportional to 247,171.76, 340,976.76 and 146,498.48

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Solution

The fourth proportional to 247,171.76, 340,976.76 and 146,498.48 is: 202,096.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,171.76 : 340,976.76 = 146,498.48 : x
  2. Step 2: Convert to fraction form
    247,171.76/340,976.76 = 146,498.48/x
  3. Step 3: Cross multiply
    247,171.76x = 340,976.76 × 146,498.48
  4. Step 4: Simplify right side
    247,171.76x = 49,952,577,055.32
  5. Step 5: Solve for x
    x = 49,952,577,055.32/247,171.76
  6. Step 6: Final answer
    x = 202,096.62

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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.