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Finding the Fourth Proportional to 140,145.20, 210,217.80 and 41,649.20

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Solution

The fourth proportional to 140,145.20, 210,217.80 and 41,649.20 is: 62,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,145.20 : 210,217.80 = 41,649.20 : x
  2. Step 2: Convert to fraction form
    140,145.20/210,217.80 = 41,649.20/x
  3. Step 3: Cross multiply
    140,145.20x = 210,217.80 × 41,649.20
  4. Step 4: Simplify right side
    140,145.20x = 8,755,403,195.76
  5. Step 5: Solve for x
    x = 8,755,403,195.76/140,145.20
  6. Step 6: Final answer
    x = 62,473.80

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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.