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Finding the Fourth Proportional to 137,415.20, 206,122.80 and 109,767.20

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Solution

The fourth proportional to 137,415.20, 206,122.80 and 109,767.20 is: 164,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,415.20 : 206,122.80 = 109,767.20 : x
  2. Step 2: Convert to fraction form
    137,415.20/206,122.80 = 109,767.20/x
  3. Step 3: Cross multiply
    137,415.20x = 206,122.80 × 109,767.20
  4. Step 4: Simplify right side
    137,415.20x = 22,625,522,612.16
  5. Step 5: Solve for x
    x = 22,625,522,612.16/137,415.20
  6. Step 6: Final answer
    x = 164,650.80

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1.5x scale

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.