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Finding the Fourth Proportional to 202,282.70, 303,752.10 and 146,514.20

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Solution

The fourth proportional to 202,282.70, 303,752.10 and 146,514.20 is: 220,008.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,282.70 : 303,752.10 = 146,514.20 : x
  2. Step 2: Convert to fraction form
    202,282.70/303,752.10 = 146,514.20/x
  3. Step 3: Cross multiply
    202,282.70x = 303,752.10 × 146,514.20
  4. Step 4: Simplify right side
    202,282.70x = 44,503,995,929.82
  5. Step 5: Solve for x
    x = 44,503,995,929.82/202,282.70
  6. Step 6: Final answer
    x = 220,008.91

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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.