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Finding the Fourth Proportional to 103,819.20, 155,801.70 and 44,697.30

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Solution

The fourth proportional to 103,819.20, 155,801.70 and 44,697.30 is: 67,077.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,819.20 : 155,801.70 = 44,697.30 : x
  2. Step 2: Convert to fraction form
    103,819.20/155,801.70 = 44,697.30/x
  3. Step 3: Cross multiply
    103,819.20x = 155,801.70 × 44,697.30
  4. Step 4: Simplify right side
    103,819.20x = 6,963,915,325.41
  5. Step 5: Solve for x
    x = 6,963,915,325.41/103,819.20
  6. Step 6: Final answer
    x = 67,077.34

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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.