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Finding the Fourth Proportional to 154,714.60, 231,764.70 and 84,468.20

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Solution

The fourth proportional to 154,714.60, 231,764.70 and 84,468.20 is: 126,534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,714.60 : 231,764.70 = 84,468.20 : x
  2. Step 2: Convert to fraction form
    154,714.60/231,764.70 = 84,468.20/x
  3. Step 3: Cross multiply
    154,714.60x = 231,764.70 × 84,468.20
  4. Step 4: Simplify right side
    154,714.60x = 19,576,747,032.54
  5. Step 5: Solve for x
    x = 19,576,747,032.54/154,714.60
  6. Step 6: Final answer
    x = 126,534.58

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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.