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Finding the Fourth Proportional to 119,101.84, 164,250.84 and 80,918.54

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Solution

The fourth proportional to 119,101.84, 164,250.84 and 80,918.54 is: 111,593.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,101.84 : 164,250.84 = 80,918.54 : x
  2. Step 2: Convert to fraction form
    119,101.84/164,250.84 = 80,918.54/x
  3. Step 3: Cross multiply
    119,101.84x = 164,250.84 × 80,918.54
  4. Step 4: Simplify right side
    119,101.84x = 13,290,938,733.45
  5. Step 5: Solve for x
    x = 13,290,938,733.45/119,101.84
  6. Step 6: Final answer
    x = 111,593.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.