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Finding the Fourth Proportional to 164,520.60, 246,780.90 and 75,947.10

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Solution

The fourth proportional to 164,520.60, 246,780.90 and 75,947.10 is: 113,920.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,520.60 : 246,780.90 = 75,947.10 : x
  2. Step 2: Convert to fraction form
    164,520.60/246,780.90 = 75,947.10/x
  3. Step 3: Cross multiply
    164,520.60x = 246,780.90 × 75,947.10
  4. Step 4: Simplify right side
    164,520.60x = 18,742,293,690.39
  5. Step 5: Solve for x
    x = 18,742,293,690.39/164,520.60
  6. Step 6: Final answer
    x = 113,920.65

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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.