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Finding the Fourth Proportional to 224,735.11, 310,197 and 129,272.56

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Solution

The fourth proportional to 224,735.11, 310,197 and 129,272.56 is: 178,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,735.11 : 310,197 = 129,272.56 : x
  2. Step 2: Convert to fraction form
    224,735.11/310,197 = 129,272.56/x
  3. Step 3: Cross multiply
    224,735.11x = 310,197 × 129,272.56
  4. Step 4: Simplify right side
    224,735.11x = 40,099,960,294.32
  5. Step 5: Solve for x
    x = 40,099,960,294.32/224,735.11
  6. Step 6: Final answer
    x = 178,432.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.