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Finding the Fourth Proportional to 159,466.32, 239,257.80 and 54,295.92

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Solution

The fourth proportional to 159,466.32, 239,257.80 and 54,295.92 is: 81,463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,466.32 : 239,257.80 = 54,295.92 : x
  2. Step 2: Convert to fraction form
    159,466.32/239,257.80 = 54,295.92/x
  3. Step 3: Cross multiply
    159,466.32x = 239,257.80 × 54,295.92
  4. Step 4: Simplify right side
    159,466.32x = 12,990,722,368.18
  5. Step 5: Solve for x
    x = 12,990,722,368.18/159,466.32
  6. Step 6: Final answer
    x = 81,463.74

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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.