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Finding the Fourth Proportional to 136,909.74, 205,078.41 and 110,110.89

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Solution

The fourth proportional to 136,909.74, 205,078.41 and 110,110.89 is: 164,936.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,909.74 : 205,078.41 = 110,110.89 : x
  2. Step 2: Convert to fraction form
    136,909.74/205,078.41 = 110,110.89/x
  3. Step 3: Cross multiply
    136,909.74x = 205,078.41 × 110,110.89
  4. Step 4: Simplify right side
    136,909.74x = 22,581,366,244.88
  5. Step 5: Solve for x
    x = 22,581,366,244.88/136,909.74
  6. Step 6: Final answer
    x = 164,936.16

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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.