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Finding the Fourth Proportional to 159,116.28, 238,674.96 and 54,009.60

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Solution

The fourth proportional to 159,116.28, 238,674.96 and 54,009.60 is: 81,014.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,116.28 : 238,674.96 = 54,009.60 : x
  2. Step 2: Convert to fraction form
    159,116.28/238,674.96 = 54,009.60/x
  3. Step 3: Cross multiply
    159,116.28x = 238,674.96 × 54,009.60
  4. Step 4: Simplify right side
    159,116.28x = 12,890,739,119.62
  5. Step 5: Solve for x
    x = 12,890,739,119.62/159,116.28
  6. Step 6: Final answer
    x = 81,014.58

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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.