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Finding the Fourth Proportional to 137,594.40, 206,197.20 and 84,847.20

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Solution

The fourth proportional to 137,594.40, 206,197.20 and 84,847.20 is: 127,150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,594.40 : 206,197.20 = 84,847.20 : x
  2. Step 2: Convert to fraction form
    137,594.40/206,197.20 = 84,847.20/x
  3. Step 3: Cross multiply
    137,594.40x = 206,197.20 × 84,847.20
  4. Step 4: Simplify right side
    137,594.40x = 17,495,255,067.84
  5. Step 5: Solve for x
    x = 17,495,255,067.84/137,594.40
  6. Step 6: Final answer
    x = 127,150.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.