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Finding the Fourth Proportional to 202,708.47, 304,067.72 and 96,066.71

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Solution

The fourth proportional to 202,708.47, 304,067.72 and 96,066.71 is: 144,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,708.47 : 304,067.72 = 96,066.71 : x
  2. Step 2: Convert to fraction form
    202,708.47/304,067.72 = 96,066.71/x
  3. Step 3: Cross multiply
    202,708.47x = 304,067.72 × 96,066.71
  4. Step 4: Simplify right side
    202,708.47x = 29,210,785,337.68
  5. Step 5: Solve for x
    x = 29,210,785,337.68/202,708.47
  6. Step 6: Final answer
    x = 144,102.44

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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.