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Finding the Fourth Proportional to 119,350.26, 164,703.78 and 65,638.62

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Solution

The fourth proportional to 119,350.26, 164,703.78 and 65,638.62 is: 90,581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,350.26 : 164,703.78 = 65,638.62 : x
  2. Step 2: Convert to fraction form
    119,350.26/164,703.78 = 65,638.62/x
  3. Step 3: Cross multiply
    119,350.26x = 164,703.78 × 65,638.62
  4. Step 4: Simplify right side
    119,350.26x = 10,810,928,827.98
  5. Step 5: Solve for x
    x = 10,810,928,827.98/119,350.26
  6. Step 6: Final answer
    x = 90,581.53

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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.