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Finding the Fourth Proportional to 136,908.74, 205,077 and 110,109.80

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Solution

The fourth proportional to 136,908.74, 205,077 and 110,109.80 is: 164,934.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,908.74 : 205,077 = 110,109.80 : x
  2. Step 2: Convert to fraction form
    136,908.74/205,077 = 110,109.80/x
  3. Step 3: Cross multiply
    136,908.74x = 205,077 × 110,109.80
  4. Step 4: Simplify right side
    136,908.74x = 22,580,987,454.60
  5. Step 5: Solve for x
    x = 22,580,987,454.60/136,908.74
  6. Step 6: Final answer
    x = 164,934.59

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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.