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Finding the Fourth Proportional to 162,564.20, 243,749.10 and 83,832.20

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Solution

The fourth proportional to 162,564.20, 243,749.10 and 83,832.20 is: 125,698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,564.20 : 243,749.10 = 83,832.20 : x
  2. Step 2: Convert to fraction form
    162,564.20/243,749.10 = 83,832.20/x
  3. Step 3: Cross multiply
    162,564.20x = 243,749.10 × 83,832.20
  4. Step 4: Simplify right side
    162,564.20x = 20,434,023,301.02
  5. Step 5: Solve for x
    x = 20,434,023,301.02/162,564.20
  6. Step 6: Final answer
    x = 125,698.18

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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.