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Finding the Fourth Proportional to 136,906.74, 205,073.91 and 110,107.89

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Solution

The fourth proportional to 136,906.74, 205,073.91 and 110,107.89 is: 164,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,906.74 : 205,073.91 = 110,107.89 : x
  2. Step 2: Convert to fraction form
    136,906.74/205,073.91 = 110,107.89/x
  3. Step 3: Cross multiply
    136,906.74x = 205,073.91 × 110,107.89
  4. Step 4: Simplify right side
    136,906.74x = 22,580,255,524.15
  5. Step 5: Solve for x
    x = 22,580,255,524.15/136,906.74
  6. Step 6: Final answer
    x = 164,931.66

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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.