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Finding the Fourth Proportional to 144,259.38, 199,074.27 and 80,597.65

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Solution

The fourth proportional to 144,259.38, 199,074.27 and 80,597.65 is: 111,222.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,259.38 : 199,074.27 = 80,597.65 : x
  2. Step 2: Convert to fraction form
    144,259.38/199,074.27 = 80,597.65/x
  3. Step 3: Cross multiply
    144,259.38x = 199,074.27 × 80,597.65
  4. Step 4: Simplify right side
    144,259.38x = 16,044,918,337.47
  5. Step 5: Solve for x
    x = 16,044,918,337.47/144,259.38
  6. Step 6: Final answer
    x = 111,222.70

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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.