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Finding the Fourth Proportional to 268,206.60, 402,536.70 and 110,548.20

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Solution

The fourth proportional to 268,206.60, 402,536.70 and 110,548.20 is: 165,915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,206.60 : 402,536.70 = 110,548.20 : x
  2. Step 2: Convert to fraction form
    268,206.60/402,536.70 = 110,548.20/x
  3. Step 3: Cross multiply
    268,206.60x = 402,536.70 × 110,548.20
  4. Step 4: Simplify right side
    268,206.60x = 44,499,707,618.94
  5. Step 5: Solve for x
    x = 44,499,707,618.94/268,206.60
  6. Step 6: Final answer
    x = 165,915.78

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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.