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Finding the Fourth Proportional to 202,291.90, 303,437.85 and 185,233.30

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Solution

The fourth proportional to 202,291.90, 303,437.85 and 185,233.30 is: 277,849.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,291.90 : 303,437.85 = 185,233.30 : x
  2. Step 2: Convert to fraction form
    202,291.90/303,437.85 = 185,233.30/x
  3. Step 3: Cross multiply
    202,291.90x = 303,437.85 × 185,233.30
  4. Step 4: Simplify right side
    202,291.90x = 56,206,794,300.41
  5. Step 5: Solve for x
    x = 56,206,794,300.41/202,291.90
  6. Step 6: Final answer
    x = 277,849.95

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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.