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Finding the Fourth Proportional to 147,064.67, 220,576.17 and 47,211.71

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Solution

The fourth proportional to 147,064.67, 220,576.17 and 47,211.71 is: 70,810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,064.67 : 220,576.17 = 47,211.71 : x
  2. Step 2: Convert to fraction form
    147,064.67/220,576.17 = 47,211.71/x
  3. Step 3: Cross multiply
    147,064.67x = 220,576.17 × 47,211.71
  4. Step 4: Simplify right side
    147,064.67x = 10,413,778,170.95
  5. Step 5: Solve for x
    x = 10,413,778,170.95/147,064.67
  6. Step 6: Final answer
    x = 70,810.88

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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.