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Finding the Fourth Proportional to 119,144.44, 178,757.67 and 74,719.18

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Solution

The fourth proportional to 119,144.44, 178,757.67 and 74,719.18 is: 112,104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,144.44 : 178,757.67 = 74,719.18 : x
  2. Step 2: Convert to fraction form
    119,144.44/178,757.67 = 74,719.18/x
  3. Step 3: Cross multiply
    119,144.44x = 178,757.67 × 74,719.18
  4. Step 4: Simplify right side
    119,144.44x = 13,356,625,598.95
  5. Step 5: Solve for x
    x = 13,356,625,598.95/119,144.44
  6. Step 6: Final answer
    x = 112,104.49

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Why These Related Problems?

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