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Finding the Fourth Proportional to 138,045.30, 207,067.95 and 138,045.30

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Solution

The fourth proportional to 138,045.30, 207,067.95 and 138,045.30 is: 207,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,045.30 : 207,067.95 = 138,045.30 : x
  2. Step 2: Convert to fraction form
    138,045.30/207,067.95 = 138,045.30/x
  3. Step 3: Cross multiply
    138,045.30x = 207,067.95 × 138,045.30
  4. Step 4: Simplify right side
    138,045.30x = 28,584,757,278.14
  5. Step 5: Solve for x
    x = 28,584,757,278.14/138,045.30
  6. Step 6: Final answer
    x = 207,067.95

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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.