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Finding the Fourth Proportional to 273,235.80, 409,853.70 and 86,247.30

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Solution

The fourth proportional to 273,235.80, 409,853.70 and 86,247.30 is: 129,370.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,235.80 : 409,853.70 = 86,247.30 : x
  2. Step 2: Convert to fraction form
    273,235.80/409,853.70 = 86,247.30/x
  3. Step 3: Cross multiply
    273,235.80x = 409,853.70 × 86,247.30
  4. Step 4: Simplify right side
    273,235.80x = 35,348,775,020.01
  5. Step 5: Solve for x
    x = 35,348,775,020.01/273,235.80
  6. Step 6: Final answer
    x = 129,370.95

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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.