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Finding the Fourth Proportional to 144,536.85, 216,805.28 and 100,213.65

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Solution

The fourth proportional to 144,536.85, 216,805.28 and 100,213.65 is: 150,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,536.85 : 216,805.28 = 100,213.65 : x
  2. Step 2: Convert to fraction form
    144,536.85/216,805.28 = 100,213.65/x
  3. Step 3: Cross multiply
    144,536.85x = 216,805.28 × 100,213.65
  4. Step 4: Simplify right side
    144,536.85x = 21,726,847,947.00
  5. Step 5: Solve for x
    x = 21,726,847,947.00/144,536.85
  6. Step 6: Final answer
    x = 150,320.48

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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.