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Finding the Fourth Proportional to 119,202.82, 164,459.78 and 67,512.88

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Solution

The fourth proportional to 119,202.82, 164,459.78 and 67,512.88 is: 93,145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,202.82 : 164,459.78 = 67,512.88 : x
  2. Step 2: Convert to fraction form
    119,202.82/164,459.78 = 67,512.88/x
  3. Step 3: Cross multiply
    119,202.82x = 164,459.78 × 67,512.88
  4. Step 4: Simplify right side
    119,202.82x = 11,103,153,391.97
  5. Step 5: Solve for x
    x = 11,103,153,391.97/119,202.82
  6. Step 6: Final answer
    x = 93,145.06

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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.