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Finding the Fourth Proportional to 162,558.20, 243,740.10 and 83,826.20

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Solution

The fourth proportional to 162,558.20, 243,740.10 and 83,826.20 is: 125,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,558.20 : 243,740.10 = 83,826.20 : x
  2. Step 2: Convert to fraction form
    162,558.20/243,740.10 = 83,826.20/x
  3. Step 3: Cross multiply
    162,558.20x = 243,740.10 × 83,826.20
  4. Step 4: Simplify right side
    162,558.20x = 20,431,806,370.62
  5. Step 5: Solve for x
    x = 20,431,806,370.62/162,558.20
  6. Step 6: Final answer
    x = 125,689.18

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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.