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Finding the Fourth Proportional to 247,649.64, 341,767.98 and 140,205.48

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Solution

The fourth proportional to 247,649.64, 341,767.98 and 140,205.48 is: 193,490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,649.64 : 341,767.98 = 140,205.48 : x
  2. Step 2: Convert to fraction form
    247,649.64/341,767.98 = 140,205.48/x
  3. Step 3: Cross multiply
    247,649.64x = 341,767.98 × 140,205.48
  4. Step 4: Simplify right side
    247,649.64x = 47,917,743,684.53
  5. Step 5: Solve for x
    x = 47,917,743,684.53/247,649.64
  6. Step 6: Final answer
    x = 193,490.06

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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.