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Finding the Fourth Proportional to 108,754.65, 150,012.27 and 78,584.31

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Solution

The fourth proportional to 108,754.65, 150,012.27 and 78,584.31 is: 108,396.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,754.65 : 150,012.27 = 78,584.31 : x
  2. Step 2: Convert to fraction form
    108,754.65/150,012.27 = 78,584.31/x
  3. Step 3: Cross multiply
    108,754.65x = 150,012.27 × 78,584.31
  4. Step 4: Simplify right side
    108,754.65x = 11,788,610,729.48
  5. Step 5: Solve for x
    x = 11,788,610,729.48/108,754.65
  6. Step 6: Final answer
    x = 108,396.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.