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Finding the Fourth Proportional to 215,973.20, 323,722.20 and 75,659.60

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Solution

The fourth proportional to 215,973.20, 323,722.20 and 75,659.60 is: 113,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,973.20 : 323,722.20 = 75,659.60 : x
  2. Step 2: Convert to fraction form
    215,973.20/323,722.20 = 75,659.60/x
  3. Step 3: Cross multiply
    215,973.20x = 323,722.20 × 75,659.60
  4. Step 4: Simplify right side
    215,973.20x = 24,492,692,163.12
  5. Step 5: Solve for x
    x = 24,492,692,163.12/215,973.20
  6. Step 6: Final answer
    x = 113,406.16

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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.