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Finding the Fourth Proportional to 202,262.70, 303,722.10 and 146,494.20

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Solution

The fourth proportional to 202,262.70, 303,722.10 and 146,494.20 is: 219,978.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,262.70 : 303,722.10 = 146,494.20 : x
  2. Step 2: Convert to fraction form
    202,262.70/303,722.10 = 146,494.20/x
  3. Step 3: Cross multiply
    202,262.70x = 303,722.10 × 146,494.20
  4. Step 4: Simplify right side
    202,262.70x = 44,493,526,061.82
  5. Step 5: Solve for x
    x = 44,493,526,061.82/202,262.70
  6. Step 6: Final answer
    x = 219,978.90

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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.