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Finding the Fourth Proportional to 148,602.10, 205,067.49 and 84,936.10

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Solution

The fourth proportional to 148,602.10, 205,067.49 and 84,936.10 is: 117,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,602.10 : 205,067.49 = 84,936.10 : x
  2. Step 2: Convert to fraction form
    148,602.10/205,067.49 = 84,936.10/x
  3. Step 3: Cross multiply
    148,602.10x = 205,067.49 × 84,936.10
  4. Step 4: Simplify right side
    148,602.10x = 17,417,632,837.39
  5. Step 5: Solve for x
    x = 17,417,632,837.39/148,602.10
  6. Step 6: Final answer
    x = 117,209.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.