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Finding the Fourth Proportional to 101,149.13, 151,730.98 and 38,819.63

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Solution

The fourth proportional to 101,149.13, 151,730.98 and 38,819.63 is: 58,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,149.13 : 151,730.98 = 38,819.63 : x
  2. Step 2: Convert to fraction form
    101,149.13/151,730.98 = 38,819.63/x
  3. Step 3: Cross multiply
    101,149.13x = 151,730.98 × 38,819.63
  4. Step 4: Simplify right side
    101,149.13x = 5,890,139,647.43
  5. Step 5: Solve for x
    x = 5,890,139,647.43/101,149.13
  6. Step 6: Final answer
    x = 58,232.24

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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.