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Finding the Fourth Proportional to 140,674, 211,062.84 and 74,111.44

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Solution

The fourth proportional to 140,674, 211,062.84 and 74,111.44 is: 111,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,674 : 211,062.84 = 74,111.44 : x
  2. Step 2: Convert to fraction form
    140,674/211,062.84 = 74,111.44/x
  3. Step 3: Cross multiply
    140,674x = 211,062.84 × 74,111.44
  4. Step 4: Simplify right side
    140,674x = 15,642,171,002.89
  5. Step 5: Solve for x
    x = 15,642,171,002.89/140,674
  6. Step 6: Final answer
    x = 111,194.47

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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.