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Finding the Fourth Proportional to 268,423.80, 402,340.46 and 110,566.14

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Solution

The fourth proportional to 268,423.80, 402,340.46 and 110,566.14 is: 165,727.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,423.80 : 402,340.46 = 110,566.14 : x
  2. Step 2: Convert to fraction form
    268,423.80/402,340.46 = 110,566.14/x
  3. Step 3: Cross multiply
    268,423.80x = 402,340.46 × 110,566.14
  4. Step 4: Simplify right side
    268,423.80x = 44,485,231,628.02
  5. Step 5: Solve for x
    x = 44,485,231,628.02/268,423.80
  6. Step 6: Final answer
    x = 165,727.60

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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.