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Finding the Fourth Proportional to 199,326.53, 299,129.90 and 180,269.39

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Solution

The fourth proportional to 199,326.53, 299,129.90 and 180,269.39 is: 270,530.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,326.53 : 299,129.90 = 180,269.39 : x
  2. Step 2: Convert to fraction form
    199,326.53/299,129.90 = 180,269.39/x
  3. Step 3: Cross multiply
    199,326.53x = 299,129.90 × 180,269.39
  4. Step 4: Simplify right side
    199,326.53x = 53,923,962,206.76
  5. Step 5: Solve for x
    x = 53,923,962,206.76/199,326.53
  6. Step 6: Final answer
    x = 270,530.78

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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.