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Finding the Fourth Proportional to 202,508.40, 303,762.60 and 185,449.80

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Solution

The fourth proportional to 202,508.40, 303,762.60 and 185,449.80 is: 278,174.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,508.40 : 303,762.60 = 185,449.80 : x
  2. Step 2: Convert to fraction form
    202,508.40/303,762.60 = 185,449.80/x
  3. Step 3: Cross multiply
    202,508.40x = 303,762.60 × 185,449.80
  4. Step 4: Simplify right side
    202,508.40x = 56,332,713,417.48
  5. Step 5: Solve for x
    x = 56,332,713,417.48/202,508.40
  6. Step 6: Final answer
    x = 278,174.70

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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.