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Finding the Fourth Proportional to 159,262.38, 238,928.13 and 48,451.50

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Solution

The fourth proportional to 159,262.38, 238,928.13 and 48,451.50 is: 72,687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,262.38 : 238,928.13 = 48,451.50 : x
  2. Step 2: Convert to fraction form
    159,262.38/238,928.13 = 48,451.50/x
  3. Step 3: Cross multiply
    159,262.38x = 238,928.13 × 48,451.50
  4. Step 4: Simplify right side
    159,262.38x = 11,576,426,290.70
  5. Step 5: Solve for x
    x = 11,576,426,290.70/159,262.38
  6. Step 6: Final answer
    x = 72,687.76

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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.