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Finding the Fourth Proportional to 247,906.92, 342,098.46 and 140,478.24

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Solution

The fourth proportional to 247,906.92, 342,098.46 and 140,478.24 is: 193,852.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,906.92 : 342,098.46 = 140,478.24 : x
  2. Step 2: Convert to fraction form
    247,906.92/342,098.46 = 140,478.24/x
  3. Step 3: Cross multiply
    247,906.92x = 342,098.46 × 140,478.24
  4. Step 4: Simplify right side
    247,906.92x = 48,057,389,567.51
  5. Step 5: Solve for x
    x = 48,057,389,567.51/247,906.92
  6. Step 6: Final answer
    x = 193,852.55

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1.5x scale

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.