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Finding the Fourth Proportional to 132,809.79, 199,243.86 and 39,322.83

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Solution

The fourth proportional to 132,809.79, 199,243.86 and 39,322.83 is: 58,992.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,809.79 : 199,243.86 = 39,322.83 : x
  2. Step 2: Convert to fraction form
    132,809.79/199,243.86 = 39,322.83/x
  3. Step 3: Cross multiply
    132,809.79x = 199,243.86 × 39,322.83
  4. Step 4: Simplify right side
    132,809.79x = 7,834,832,435.32
  5. Step 5: Solve for x
    x = 7,834,832,435.32/132,809.79
  6. Step 6: Final answer
    x = 58,992.88

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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.