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Finding the Fourth Proportional to 144,426.60, 216,767.90 and 85,188.20

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Solution

The fourth proportional to 144,426.60, 216,767.90 and 85,188.20 is: 127,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,426.60 : 216,767.90 = 85,188.20 : x
  2. Step 2: Convert to fraction form
    144,426.60/216,767.90 = 85,188.20/x
  3. Step 3: Cross multiply
    144,426.60x = 216,767.90 × 85,188.20
  4. Step 4: Simplify right side
    144,426.60x = 18,466,067,218.78
  5. Step 5: Solve for x
    x = 18,466,067,218.78/144,426.60
  6. Step 6: Final answer
    x = 127,857.80

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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.