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Finding the Fourth Proportional to 103,406.60, 155,109.90 and 67,977.20

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Solution

The fourth proportional to 103,406.60, 155,109.90 and 67,977.20 is: 101,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,406.60 : 155,109.90 = 67,977.20 : x
  2. Step 2: Convert to fraction form
    103,406.60/155,109.90 = 67,977.20/x
  3. Step 3: Cross multiply
    103,406.60x = 155,109.90 × 67,977.20
  4. Step 4: Simplify right side
    103,406.60x = 10,543,936,694.28
  5. Step 5: Solve for x
    x = 10,543,936,694.28/103,406.60
  6. Step 6: Final answer
    x = 101,965.80

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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.