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Finding the Fourth Proportional to 109,159.20, 163,642.80 and 73,984.80

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Solution

The fourth proportional to 109,159.20, 163,642.80 and 73,984.80 is: 110,912.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,159.20 : 163,642.80 = 73,984.80 : x
  2. Step 2: Convert to fraction form
    109,159.20/163,642.80 = 73,984.80/x
  3. Step 3: Cross multiply
    109,159.20x = 163,642.80 × 73,984.80
  4. Step 4: Simplify right side
    109,159.20x = 12,107,079,829.44
  5. Step 5: Solve for x
    x = 12,107,079,829.44/109,159.20
  6. Step 6: Final answer
    x = 110,912.13

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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.