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Finding the Fourth Proportional to 106,899.60, 160,363.80 and 36,800.40

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Solution

The fourth proportional to 106,899.60, 160,363.80 and 36,800.40 is: 55,205.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,899.60 : 160,363.80 = 36,800.40 : x
  2. Step 2: Convert to fraction form
    106,899.60/160,363.80 = 36,800.40/x
  3. Step 3: Cross multiply
    106,899.60x = 160,363.80 × 36,800.40
  4. Step 4: Simplify right side
    106,899.60x = 5,901,451,985.52
  5. Step 5: Solve for x
    x = 5,901,451,985.52/106,899.60
  6. Step 6: Final answer
    x = 55,205.56

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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.