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Finding the Fourth Proportional to 202,342.70, 303,763.65 and 127,462.70

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Solution

The fourth proportional to 202,342.70, 303,763.65 and 127,462.70 is: 191,351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,342.70 : 303,763.65 = 127,462.70 : x
  2. Step 2: Convert to fraction form
    202,342.70/303,763.65 = 127,462.70/x
  3. Step 3: Cross multiply
    202,342.70x = 303,763.65 × 127,462.70
  4. Step 4: Simplify right side
    202,342.70x = 38,718,534,990.86
  5. Step 5: Solve for x
    x = 38,718,534,990.86/202,342.70
  6. Step 6: Final answer
    x = 191,351.28

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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.