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Finding the Fourth Proportional to 132,857.88, 199,148.34 and 57,957.90

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Solution

The fourth proportional to 132,857.88, 199,148.34 and 57,957.90 is: 86,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,857.88 : 199,148.34 = 57,957.90 : x
  2. Step 2: Convert to fraction form
    132,857.88/199,148.34 = 57,957.90/x
  3. Step 3: Cross multiply
    132,857.88x = 199,148.34 × 57,957.90
  4. Step 4: Simplify right side
    132,857.88x = 11,542,219,574.89
  5. Step 5: Solve for x
    x = 11,542,219,574.89/132,857.88
  6. Step 6: Final answer
    x = 86,876.44

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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.