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Finding the Fourth Proportional to 247,175.76, 340,982.28 and 146,502.48

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Solution

The fourth proportional to 247,175.76, 340,982.28 and 146,502.48 is: 202,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,175.76 : 340,982.28 = 146,502.48 : x
  2. Step 2: Convert to fraction form
    247,175.76/340,982.28 = 146,502.48/x
  3. Step 3: Cross multiply
    247,175.76x = 340,982.28 × 146,502.48
  4. Step 4: Simplify right side
    247,175.76x = 49,954,749,656.05
  5. Step 5: Solve for x
    x = 49,954,749,656.05/247,175.76
  6. Step 6: Final answer
    x = 202,102.14

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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.