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Finding the Fourth Proportional to 132,781.78, 199,027.77 and 65,360.22

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Solution

The fourth proportional to 132,781.78, 199,027.77 and 65,360.22 is: 97,969.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,781.78 : 199,027.77 = 65,360.22 : x
  2. Step 2: Convert to fraction form
    132,781.78/199,027.77 = 65,360.22/x
  3. Step 3: Cross multiply
    132,781.78x = 199,027.77 × 65,360.22
  4. Step 4: Simplify right side
    132,781.78x = 13,008,497,841.85
  5. Step 5: Solve for x
    x = 13,008,497,841.85/132,781.78
  6. Step 6: Final answer
    x = 97,969.00

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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.