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Finding the Fourth Proportional to 132,857.66, 199,149.15 and 61,722.26

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Solution

The fourth proportional to 132,857.66, 199,149.15 and 61,722.26 is: 92,519.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,857.66 : 199,149.15 = 61,722.26 : x
  2. Step 2: Convert to fraction form
    132,857.66/199,149.15 = 61,722.26/x
  3. Step 3: Cross multiply
    132,857.66x = 199,149.15 × 61,722.26
  4. Step 4: Simplify right side
    132,857.66x = 12,291,934,877.01
  5. Step 5: Solve for x
    x = 12,291,934,877.01/132,857.66
  6. Step 6: Final answer
    x = 92,519.58

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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.