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Finding the Fourth Proportional to 202,332.30, 303,498.45 and 107,853.90

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Solution

The fourth proportional to 202,332.30, 303,498.45 and 107,853.90 is: 161,780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,332.30 : 303,498.45 = 107,853.90 : x
  2. Step 2: Convert to fraction form
    202,332.30/303,498.45 = 107,853.90/x
  3. Step 3: Cross multiply
    202,332.30x = 303,498.45 × 107,853.90
  4. Step 4: Simplify right side
    202,332.30x = 32,733,491,476.46
  5. Step 5: Solve for x
    x = 32,733,491,476.46/202,332.30
  6. Step 6: Final answer
    x = 161,780.85

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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.