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Finding the Fourth Proportional to 144,633.40, 216,950.10 and 82,425.40

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Solution

The fourth proportional to 144,633.40, 216,950.10 and 82,425.40 is: 123,638.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,633.40 : 216,950.10 = 82,425.40 : x
  2. Step 2: Convert to fraction form
    144,633.40/216,950.10 = 82,425.40/x
  3. Step 3: Cross multiply
    144,633.40x = 216,950.10 × 82,425.40
  4. Step 4: Simplify right side
    144,633.40x = 17,882,198,772.54
  5. Step 5: Solve for x
    x = 17,882,198,772.54/144,633.40
  6. Step 6: Final answer
    x = 123,638.10

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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.