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Finding the Fourth Proportional to 132,855.86, 199,331.31 and 56,922.50

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Solution

The fourth proportional to 132,855.86, 199,331.31 and 56,922.50 is: 85,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,855.86 : 199,331.31 = 56,922.50 : x
  2. Step 2: Convert to fraction form
    132,855.86/199,331.31 = 56,922.50/x
  3. Step 3: Cross multiply
    132,855.86x = 199,331.31 × 56,922.50
  4. Step 4: Simplify right side
    132,855.86x = 11,346,435,496.82
  5. Step 5: Solve for x
    x = 11,346,435,496.82/132,855.86
  6. Step 6: Final answer
    x = 85,404.11

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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.