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Finding the Fourth Proportional to 101,067.70, 151,710.90 and 56,780.95

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Solution

The fourth proportional to 101,067.70, 151,710.90 and 56,780.95 is: 85,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,067.70 : 151,710.90 = 56,780.95 : x
  2. Step 2: Convert to fraction form
    101,067.70/151,710.90 = 56,780.95/x
  3. Step 3: Cross multiply
    101,067.70x = 151,710.90 × 56,780.95
  4. Step 4: Simplify right side
    101,067.70x = 8,614,289,027.36
  5. Step 5: Solve for x
    x = 8,614,289,027.36/101,067.70
  6. Step 6: Final answer
    x = 85,232.86

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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.