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Finding the Fourth Proportional to 119,548.92, 164,964.81 and 65,830.74

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Solution

The fourth proportional to 119,548.92, 164,964.81 and 65,830.74 is: 90,839.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,548.92 : 164,964.81 = 65,830.74 : x
  2. Step 2: Convert to fraction form
    119,548.92/164,964.81 = 65,830.74/x
  3. Step 3: Cross multiply
    119,548.92x = 164,964.81 × 65,830.74
  4. Step 4: Simplify right side
    119,548.92x = 10,859,755,516.26
  5. Step 5: Solve for x
    x = 10,859,755,516.26/119,548.92
  6. Step 6: Final answer
    x = 90,839.43

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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.