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Finding the Fourth Proportional to 202,092.40, 303,138.60 and 185,689.90

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Solution

The fourth proportional to 202,092.40, 303,138.60 and 185,689.90 is: 278,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,092.40 : 303,138.60 = 185,689.90 : x
  2. Step 2: Convert to fraction form
    202,092.40/303,138.60 = 185,689.90/x
  3. Step 3: Cross multiply
    202,092.40x = 303,138.60 × 185,689.90
  4. Step 4: Simplify right side
    202,092.40x = 56,289,776,320.14
  5. Step 5: Solve for x
    x = 56,289,776,320.14/202,092.40
  6. Step 6: Final answer
    x = 278,534.85

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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.