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Finding the Fourth Proportional to 212,402.40, 318,085.20 and 101,464.80

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Solution

The fourth proportional to 212,402.40, 318,085.20 and 101,464.80 is: 151,949.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,402.40 : 318,085.20 = 101,464.80 : x
  2. Step 2: Convert to fraction form
    212,402.40/318,085.20 = 101,464.80/x
  3. Step 3: Cross multiply
    212,402.40x = 318,085.20 × 101,464.80
  4. Step 4: Simplify right side
    212,402.40x = 32,274,451,200.96
  5. Step 5: Solve for x
    x = 32,274,451,200.96/212,402.40
  6. Step 6: Final answer
    x = 151,949.56

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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.