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Finding the Fourth Proportional to 268,357.76, 402,585.24 and 110,500.12

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Solution

The fourth proportional to 268,357.76, 402,585.24 and 110,500.12 is: 165,770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,357.76 : 402,585.24 = 110,500.12 : x
  2. Step 2: Convert to fraction form
    268,357.76/402,585.24 = 110,500.12/x
  3. Step 3: Cross multiply
    268,357.76x = 402,585.24 × 110,500.12
  4. Step 4: Simplify right side
    268,357.76x = 44,485,717,330.23
  5. Step 5: Solve for x
    x = 44,485,717,330.23/268,357.76
  6. Step 6: Final answer
    x = 165,770.19

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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.