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Finding the Fourth Proportional to 202,049.60, 303,511.80 and 194,613.80

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Solution

The fourth proportional to 202,049.60, 303,511.80 and 194,613.80 is: 292,342.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,049.60 : 303,511.80 = 194,613.80 : x
  2. Step 2: Convert to fraction form
    202,049.60/303,511.80 = 194,613.80/x
  3. Step 3: Cross multiply
    202,049.60x = 303,511.80 × 194,613.80
  4. Step 4: Simplify right side
    202,049.60x = 59,067,584,742.84
  5. Step 5: Solve for x
    x = 59,067,584,742.84/202,049.60
  6. Step 6: Final answer
    x = 292,342.00

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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.