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Finding the Fourth Proportional to 282,551.60, 423,849.11 and 80,144.24

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Solution

The fourth proportional to 282,551.60, 423,849.11 and 80,144.24 is: 120,222.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,551.60 : 423,849.11 = 80,144.24 : x
  2. Step 2: Convert to fraction form
    282,551.60/423,849.11 = 80,144.24/x
  3. Step 3: Cross multiply
    282,551.60x = 423,849.11 × 80,144.24
  4. Step 4: Simplify right side
    282,551.60x = 33,969,062,275.66
  5. Step 5: Solve for x
    x = 33,969,062,275.66/282,551.60
  6. Step 6: Final answer
    x = 120,222.51

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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.