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Finding the Fourth Proportional to 202,002.30, 303,003.45 and 61,742.70

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Solution

The fourth proportional to 202,002.30, 303,003.45 and 61,742.70 is: 92,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,002.30 : 303,003.45 = 61,742.70 : x
  2. Step 2: Convert to fraction form
    202,002.30/303,003.45 = 61,742.70/x
  3. Step 3: Cross multiply
    202,002.30x = 303,003.45 × 61,742.70
  4. Step 4: Simplify right side
    202,002.30x = 18,708,251,112.32
  5. Step 5: Solve for x
    x = 18,708,251,112.32/202,002.30
  6. Step 6: Final answer
    x = 92,614.05

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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.