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Finding the Fourth Proportional to 140,853.74, 211,147.56 and 47,293.88

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Solution

The fourth proportional to 140,853.74, 211,147.56 and 47,293.88 is: 70,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,853.74 : 211,147.56 = 47,293.88 : x
  2. Step 2: Convert to fraction form
    140,853.74/211,147.56 = 47,293.88/x
  3. Step 3: Cross multiply
    140,853.74x = 211,147.56 × 47,293.88
  4. Step 4: Simplify right side
    140,853.74x = 9,985,986,309.20
  5. Step 5: Solve for x
    x = 9,985,986,309.20/140,853.74
  6. Step 6: Final answer
    x = 70,896.14

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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.