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Finding the Fourth Proportional to 73,002.20, 109,406.10 and 52,201.40

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Solution

The fourth proportional to 73,002.20, 109,406.10 and 52,201.40 is: 78,232.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,002.20 : 109,406.10 = 52,201.40 : x
  2. Step 2: Convert to fraction form
    73,002.20/109,406.10 = 52,201.40/x
  3. Step 3: Cross multiply
    73,002.20x = 109,406.10 × 52,201.40
  4. Step 4: Simplify right side
    73,002.20x = 5,711,151,588.54
  5. Step 5: Solve for x
    x = 5,711,151,588.54/73,002.20
  6. Step 6: Final answer
    x = 78,232.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.