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Finding the Fourth Proportional to 202,104.40, 303,156.60 and 185,701.90

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Solution

The fourth proportional to 202,104.40, 303,156.60 and 185,701.90 is: 278,552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,104.40 : 303,156.60 = 185,701.90 : x
  2. Step 2: Convert to fraction form
    202,104.40/303,156.60 = 185,701.90/x
  3. Step 3: Cross multiply
    202,104.40x = 303,156.60 × 185,701.90
  4. Step 4: Simplify right side
    202,104.40x = 56,296,756,617.54
  5. Step 5: Solve for x
    x = 56,296,756,617.54/202,104.40
  6. Step 6: Final answer
    x = 278,552.85

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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.