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Finding the Fourth Proportional to 140,865.64, 211,296.86 and 34,250.20

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Solution

The fourth proportional to 140,865.64, 211,296.86 and 34,250.20 is: 51,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,865.64 : 211,296.86 = 34,250.20 : x
  2. Step 2: Convert to fraction form
    140,865.64/211,296.86 = 34,250.20/x
  3. Step 3: Cross multiply
    140,865.64x = 211,296.86 × 34,250.20
  4. Step 4: Simplify right side
    140,865.64x = 7,236,959,714.37
  5. Step 5: Solve for x
    x = 7,236,959,714.37/140,865.64
  6. Step 6: Final answer
    x = 51,374.91

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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.