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Finding the Fourth Proportional to 101,523.20, 152,155.20 and 48,819.20

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Solution

The fourth proportional to 101,523.20, 152,155.20 and 48,819.20 is: 73,166.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,523.20 : 152,155.20 = 48,819.20 : x
  2. Step 2: Convert to fraction form
    101,523.20/152,155.20 = 48,819.20/x
  3. Step 3: Cross multiply
    101,523.20x = 152,155.20 × 48,819.20
  4. Step 4: Simplify right side
    101,523.20x = 7,428,095,139.84
  5. Step 5: Solve for x
    x = 7,428,095,139.84/101,523.20
  6. Step 6: Final answer
    x = 73,166.48

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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.