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Finding the Fourth Proportional to 102,116.90, 153,080.96 and 54,764.91

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Solution

The fourth proportional to 102,116.90, 153,080.96 and 54,764.91 is: 82,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,116.90 : 153,080.96 = 54,764.91 : x
  2. Step 2: Convert to fraction form
    102,116.90/153,080.96 = 54,764.91/x
  3. Step 3: Cross multiply
    102,116.90x = 153,080.96 × 54,764.91
  4. Step 4: Simplify right side
    102,116.90x = 8,383,464,723.29
  5. Step 5: Solve for x
    x = 8,383,464,723.29/102,116.90
  6. Step 6: Final answer
    x = 82,096.74

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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.