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Finding the Fourth Proportional to 268,046.10, 402,069.15 and 71,054.10

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Solution

The fourth proportional to 268,046.10, 402,069.15 and 71,054.10 is: 106,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,046.10 : 402,069.15 = 71,054.10 : x
  2. Step 2: Convert to fraction form
    268,046.10/402,069.15 = 71,054.10/x
  3. Step 3: Cross multiply
    268,046.10x = 402,069.15 × 71,054.10
  4. Step 4: Simplify right side
    268,046.10x = 28,568,661,591.02
  5. Step 5: Solve for x
    x = 28,568,661,591.02/268,046.10
  6. Step 6: Final answer
    x = 106,581.15

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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.