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Finding the Fourth Proportional to 159,276.96, 238,954.32 and 48,468.96

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Solution

The fourth proportional to 159,276.96, 238,954.32 and 48,468.96 is: 72,715.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,276.96 : 238,954.32 = 48,468.96 : x
  2. Step 2: Convert to fraction form
    159,276.96/238,954.32 = 48,468.96/x
  3. Step 3: Cross multiply
    159,276.96x = 238,954.32 × 48,468.96
  4. Step 4: Simplify right side
    159,276.96x = 11,581,867,377.91
  5. Step 5: Solve for x
    x = 11,581,867,377.91/159,276.96
  6. Step 6: Final answer
    x = 72,715.27

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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.