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Finding the Fourth Proportional to 116,714.41, 175,115.74 and 45,687.80

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Solution

The fourth proportional to 116,714.41, 175,115.74 and 45,687.80 is: 68,548.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,714.41 : 175,115.74 = 45,687.80 : x
  2. Step 2: Convert to fraction form
    116,714.41/175,115.74 = 45,687.80/x
  3. Step 3: Cross multiply
    116,714.41x = 175,115.74 × 45,687.80
  4. Step 4: Simplify right side
    116,714.41x = 8,000,652,905.97
  5. Step 5: Solve for x
    x = 8,000,652,905.97/116,714.41
  6. Step 6: Final answer
    x = 68,548.97

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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.