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Finding the Fourth Proportional to 159,313.12, 238,975.28 and 54,118.40

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Solution

The fourth proportional to 159,313.12, 238,975.28 and 54,118.40 is: 81,179.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,313.12 : 238,975.28 = 54,118.40 : x
  2. Step 2: Convert to fraction form
    159,313.12/238,975.28 = 54,118.40/x
  3. Step 3: Cross multiply
    159,313.12x = 238,975.28 × 54,118.40
  4. Step 4: Simplify right side
    159,313.12x = 12,932,959,793.15
  5. Step 5: Solve for x
    x = 12,932,959,793.15/159,313.12
  6. Step 6: Final answer
    x = 81,179.50

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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.