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Finding the Fourth Proportional to 202,464.39, 303,697.67 and 132,784.95

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Solution

The fourth proportional to 202,464.39, 303,697.67 and 132,784.95 is: 199,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,464.39 : 303,697.67 = 132,784.95 : x
  2. Step 2: Convert to fraction form
    202,464.39/303,697.67 = 132,784.95/x
  3. Step 3: Cross multiply
    202,464.39x = 303,697.67 × 132,784.95
  4. Step 4: Simplify right side
    202,464.39x = 40,326,479,262.14
  5. Step 5: Solve for x
    x = 40,326,479,262.14/202,464.39
  6. Step 6: Final answer
    x = 199,178.13

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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.