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Finding the Fourth Proportional to 268,399.80, 402,780.78 and 110,624.76

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Solution

The fourth proportional to 268,399.80, 402,780.78 and 110,624.76 is: 166,011.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,399.80 : 402,780.78 = 110,624.76 : x
  2. Step 2: Convert to fraction form
    268,399.80/402,780.78 = 110,624.76/x
  3. Step 3: Cross multiply
    268,399.80x = 402,780.78 × 110,624.76
  4. Step 4: Simplify right side
    268,399.80x = 44,557,527,120.11
  5. Step 5: Solve for x
    x = 44,557,527,120.11/268,399.80
  6. Step 6: Final answer
    x = 166,011.77

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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.