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Finding the Fourth Proportional to 144,426.50, 199,304.84 and 79,894.06

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Solution

The fourth proportional to 144,426.50, 199,304.84 and 79,894.06 is: 110,251.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,426.50 : 199,304.84 = 79,894.06 : x
  2. Step 2: Convert to fraction form
    144,426.50/199,304.84 = 79,894.06/x
  3. Step 3: Cross multiply
    144,426.50x = 199,304.84 × 79,894.06
  4. Step 4: Simplify right side
    144,426.50x = 15,923,272,845.25
  5. Step 5: Solve for x
    x = 15,923,272,845.25/144,426.50
  6. Step 6: Final answer
    x = 110,251.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.