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Finding the Fourth Proportional to 119,396.34, 164,761.75 and 65,677.95

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Solution

The fourth proportional to 119,396.34, 164,761.75 and 65,677.95 is: 90,632.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,396.34 : 164,761.75 = 65,677.95 : x
  2. Step 2: Convert to fraction form
    119,396.34/164,761.75 = 65,677.95/x
  3. Step 3: Cross multiply
    119,396.34x = 164,761.75 × 65,677.95
  4. Step 4: Simplify right side
    119,396.34x = 10,821,212,826.21
  5. Step 5: Solve for x
    x = 10,821,212,826.21/119,396.34
  6. Step 6: Final answer
    x = 90,632.71

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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.