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Finding the Fourth Proportional to 268,194.60, 402,643.49 and 179,843.45

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Solution

The fourth proportional to 268,194.60, 402,643.49 and 179,843.45 is: 270,000.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,194.60 : 402,643.49 = 179,843.45 : x
  2. Step 2: Convert to fraction form
    268,194.60/402,643.49 = 179,843.45/x
  3. Step 3: Cross multiply
    268,194.60x = 402,643.49 × 179,843.45
  4. Step 4: Simplify right side
    268,194.60x = 72,412,791,449.21
  5. Step 5: Solve for x
    x = 72,412,791,449.21/268,194.60
  6. Step 6: Final answer
    x = 270,000.93

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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.