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Finding the Fourth Proportional to 109,151.66, 163,464.84 and 73,984.70

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Solution

The fourth proportional to 109,151.66, 163,464.84 and 73,984.70 is: 110,799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,151.66 : 163,464.84 = 73,984.70 : x
  2. Step 2: Convert to fraction form
    109,151.66/163,464.84 = 73,984.70/x
  3. Step 3: Cross multiply
    109,151.66x = 163,464.84 × 73,984.70
  4. Step 4: Simplify right side
    109,151.66x = 12,093,897,147.95
  5. Step 5: Solve for x
    x = 12,093,897,147.95/109,151.66
  6. Step 6: Final answer
    x = 110,799.02

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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.