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Finding the Fourth Proportional to 179,352.80, 269,019.44 and 54,684

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Solution

The fourth proportional to 179,352.80, 269,019.44 and 54,684 is: 82,023.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,352.80 : 269,019.44 = 54,684 : x
  2. Step 2: Convert to fraction form
    179,352.80/269,019.44 = 54,684/x
  3. Step 3: Cross multiply
    179,352.80x = 269,019.44 × 54,684
  4. Step 4: Simplify right side
    179,352.80x = 14,711,059,056.96
  5. Step 5: Solve for x
    x = 14,711,059,056.96/179,352.80
  6. Step 6: Final answer
    x = 82,023.02

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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.