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Finding the Fourth Proportional to 224,273.89, 309,522.63 and 138,215.44

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Solution

The fourth proportional to 224,273.89, 309,522.63 and 138,215.44 is: 190,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,273.89 : 309,522.63 = 138,215.44 : x
  2. Step 2: Convert to fraction form
    224,273.89/309,522.63 = 138,215.44/x
  3. Step 3: Cross multiply
    224,273.89x = 309,522.63 × 138,215.44
  4. Step 4: Simplify right side
    224,273.89x = 42,780,806,495.41
  5. Step 5: Solve for x
    x = 42,780,806,495.41/224,273.89
  6. Step 6: Final answer
    x = 190,752.51

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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.