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Finding the Fourth Proportional to 202,465.39, 303,699.17 and 132,785.95

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Solution

The fourth proportional to 202,465.39, 303,699.17 and 132,785.95 is: 199,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,465.39 : 303,699.17 = 132,785.95 : x
  2. Step 2: Convert to fraction form
    202,465.39/303,699.17 = 132,785.95/x
  3. Step 3: Cross multiply
    202,465.39x = 303,699.17 × 132,785.95
  4. Step 4: Simplify right side
    202,465.39x = 40,326,982,802.66
  5. Step 5: Solve for x
    x = 40,326,982,802.66/202,465.39
  6. Step 6: Final answer
    x = 199,179.64

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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.