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Finding the Fourth Proportional to 119,572.36, 165,003.24 and 65,847.24

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Solution

The fourth proportional to 119,572.36, 165,003.24 and 65,847.24 is: 90,865.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,572.36 : 165,003.24 = 65,847.24 : x
  2. Step 2: Convert to fraction form
    119,572.36/165,003.24 = 65,847.24/x
  3. Step 3: Cross multiply
    119,572.36x = 165,003.24 × 65,847.24
  4. Step 4: Simplify right side
    119,572.36x = 10,865,007,945.06
  5. Step 5: Solve for x
    x = 10,865,007,945.06/119,572.36
  6. Step 6: Final answer
    x = 90,865.55

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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.