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Finding the Fourth Proportional to 212,364.24, 318,743.28 and 107,256.96

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Solution

The fourth proportional to 212,364.24, 318,743.28 and 107,256.96 is: 160,984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,364.24 : 318,743.28 = 107,256.96 : x
  2. Step 2: Convert to fraction form
    212,364.24/318,743.28 = 107,256.96/x
  3. Step 3: Cross multiply
    212,364.24x = 318,743.28 × 107,256.96
  4. Step 4: Simplify right side
    212,364.24x = 34,187,435,233.23
  5. Step 5: Solve for x
    x = 34,187,435,233.23/212,364.24
  6. Step 6: Final answer
    x = 160,984.90

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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.