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Finding the Fourth Proportional to 176,282.56, 263,839.11 and 160,524.01

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Solution

The fourth proportional to 176,282.56, 263,839.11 and 160,524.01 is: 240,253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,282.56 : 263,839.11 = 160,524.01 : x
  2. Step 2: Convert to fraction form
    176,282.56/263,839.11 = 160,524.01/x
  3. Step 3: Cross multiply
    176,282.56x = 263,839.11 × 160,524.01
  4. Step 4: Simplify right side
    176,282.56x = 42,352,511,932.03
  5. Step 5: Solve for x
    x = 42,352,511,932.03/176,282.56
  6. Step 6: Final answer
    x = 240,253.56

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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.