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Finding the Fourth Proportional to 106,754.68, 160,118.20 and 47,576.88

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Solution

The fourth proportional to 106,754.68, 160,118.20 and 47,576.88 is: 71,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,754.68 : 160,118.20 = 47,576.88 : x
  2. Step 2: Convert to fraction form
    106,754.68/160,118.20 = 47,576.88/x
  3. Step 3: Cross multiply
    106,754.68x = 160,118.20 × 47,576.88
  4. Step 4: Simplify right side
    106,754.68x = 7,617,924,387.22
  5. Step 5: Solve for x
    x = 7,617,924,387.22/106,754.68
  6. Step 6: Final answer
    x = 71,359.16

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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.