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Finding the Fourth Proportional to 106,809.98, 160,074.80 and 78,597.95

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Solution

The fourth proportional to 106,809.98, 160,074.80 and 78,597.95 is: 117,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,809.98 : 160,074.80 = 78,597.95 : x
  2. Step 2: Convert to fraction form
    106,809.98/160,074.80 = 78,597.95/x
  3. Step 3: Cross multiply
    106,809.98x = 160,074.80 × 78,597.95
  4. Step 4: Simplify right side
    106,809.98x = 12,581,550,228.04
  5. Step 5: Solve for x
    x = 12,581,550,228.04/106,809.98
  6. Step 6: Final answer
    x = 117,793.78

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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.