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Finding the Fourth Proportional to 202,297.70, 303,446.55 and 123,565.70

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Solution

The fourth proportional to 202,297.70, 303,446.55 and 123,565.70 is: 185,348.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,297.70 : 303,446.55 = 123,565.70 : x
  2. Step 2: Convert to fraction form
    202,297.70/303,446.55 = 123,565.70/x
  3. Step 3: Cross multiply
    202,297.70x = 303,446.55 × 123,565.70
  4. Step 4: Simplify right side
    202,297.70x = 37,495,585,363.34
  5. Step 5: Solve for x
    x = 37,495,585,363.34/202,297.70
  6. Step 6: Final answer
    x = 185,348.55

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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.