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Finding the Fourth Proportional to 268,288.40, 402,286.80 and 110,532.80

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Solution

The fourth proportional to 268,288.40, 402,286.80 and 110,532.80 is: 165,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,288.40 : 402,286.80 = 110,532.80 : x
  2. Step 2: Convert to fraction form
    268,288.40/402,286.80 = 110,532.80/x
  3. Step 3: Cross multiply
    268,288.40x = 402,286.80 × 110,532.80
  4. Step 4: Simplify right side
    268,288.40x = 44,465,886,407.04
  5. Step 5: Solve for x
    x = 44,465,886,407.04/268,288.40
  6. Step 6: Final answer
    x = 165,739.13

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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.