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Finding the Fourth Proportional to 131,907.78, 197,860.05 and 32,067.90

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Solution

The fourth proportional to 131,907.78, 197,860.05 and 32,067.90 is: 48,101.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,907.78 : 197,860.05 = 32,067.90 : x
  2. Step 2: Convert to fraction form
    131,907.78/197,860.05 = 32,067.90/x
  3. Step 3: Cross multiply
    131,907.78x = 197,860.05 × 32,067.90
  4. Step 4: Simplify right side
    131,907.78x = 6,344,956,297.40
  5. Step 5: Solve for x
    x = 6,344,956,297.40/131,907.78
  6. Step 6: Final answer
    x = 48,101.46

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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.