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Finding the Fourth Proportional to 202,397.82, 303,190.65 and 185,863.02

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Solution

The fourth proportional to 202,397.82, 303,190.65 and 185,863.02 is: 278,421.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,397.82 : 303,190.65 = 185,863.02 : x
  2. Step 2: Convert to fraction form
    202,397.82/303,190.65 = 185,863.02/x
  3. Step 3: Cross multiply
    202,397.82x = 303,190.65 × 185,863.02
  4. Step 4: Simplify right side
    202,397.82x = 56,351,929,844.76
  5. Step 5: Solve for x
    x = 56,351,929,844.76/202,397.82
  6. Step 6: Final answer
    x = 278,421.62

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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.