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Finding the Fourth Proportional to 188,587.89, 283,067.73 and 138,527.46

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Solution

The fourth proportional to 188,587.89, 283,067.73 and 138,527.46 is: 207,927.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,587.89 : 283,067.73 = 138,527.46 : x
  2. Step 2: Convert to fraction form
    188,587.89/283,067.73 = 138,527.46/x
  3. Step 3: Cross multiply
    188,587.89x = 283,067.73 × 138,527.46
  4. Step 4: Simplify right side
    188,587.89x = 39,212,653,644.87
  5. Step 5: Solve for x
    x = 39,212,653,644.87/188,587.89
  6. Step 6: Final answer
    x = 207,927.74

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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.