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Finding the Fourth Proportional to 132,783.26, 199,210.41 and 57,909.48

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Solution

The fourth proportional to 132,783.26, 199,210.41 and 57,909.48 is: 86,879.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,783.26 : 199,210.41 = 57,909.48 : x
  2. Step 2: Convert to fraction form
    132,783.26/199,210.41 = 57,909.48/x
  3. Step 3: Cross multiply
    132,783.26x = 199,210.41 × 57,909.48
  4. Step 4: Simplify right side
    132,783.26x = 11,536,171,253.69
  5. Step 5: Solve for x
    x = 11,536,171,253.69/132,783.26
  6. Step 6: Final answer
    x = 86,879.71

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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.