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Finding the Fourth Proportional to 127,884.88, 191,827.32 and 57,745.36

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Solution

The fourth proportional to 127,884.88, 191,827.32 and 57,745.36 is: 86,618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,884.88 : 191,827.32 = 57,745.36 : x
  2. Step 2: Convert to fraction form
    127,884.88/191,827.32 = 57,745.36/x
  3. Step 3: Cross multiply
    127,884.88x = 191,827.32 × 57,745.36
  4. Step 4: Simplify right side
    127,884.88x = 11,077,137,651.24
  5. Step 5: Solve for x
    x = 11,077,137,651.24/127,884.88
  6. Step 6: Final answer
    x = 86,618.04

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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.