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Finding the Fourth Proportional to 202,405.32, 303,201.90 and 185,870.52

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Solution

The fourth proportional to 202,405.32, 303,201.90 and 185,870.52 is: 278,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,405.32 : 303,201.90 = 185,870.52 : x
  2. Step 2: Convert to fraction form
    202,405.32/303,201.90 = 185,870.52/x
  3. Step 3: Cross multiply
    202,405.32x = 303,201.90 × 185,870.52
  4. Step 4: Simplify right side
    202,405.32x = 56,356,294,817.99
  5. Step 5: Solve for x
    x = 56,356,294,817.99/202,405.32
  6. Step 6: Final answer
    x = 278,432.87

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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.