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Finding the Fourth Proportional to 119,540.50, 164,966.96 and 65,825.73

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Solution

The fourth proportional to 119,540.50, 164,966.96 and 65,825.73 is: 90,840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,540.50 : 164,966.96 = 65,825.73 : x
  2. Step 2: Convert to fraction form
    119,540.50/164,966.96 = 65,825.73/x
  3. Step 3: Cross multiply
    119,540.50x = 164,966.96 × 65,825.73
  4. Step 4: Simplify right side
    119,540.50x = 10,859,070,732.45
  5. Step 5: Solve for x
    x = 10,859,070,732.45/119,540.50
  6. Step 6: Final answer
    x = 90,840.10

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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.