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Finding the Fourth Proportional to 202,292.70, 303,767.10 and 146,524.20

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Solution

The fourth proportional to 202,292.70, 303,767.10 and 146,524.20 is: 220,023.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,292.70 : 303,767.10 = 146,524.20 : x
  2. Step 2: Convert to fraction form
    202,292.70/303,767.10 = 146,524.20/x
  3. Step 3: Cross multiply
    202,292.70x = 303,767.10 × 146,524.20
  4. Step 4: Simplify right side
    202,292.70x = 44,509,231,313.82
  5. Step 5: Solve for x
    x = 44,509,231,313.82/202,292.70
  6. Step 6: Final answer
    x = 220,023.91

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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.