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Finding the Fourth Proportional to 119,058.39, 164,295.31 and 65,343.51

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Solution

The fourth proportional to 119,058.39, 164,295.31 and 65,343.51 is: 90,171.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,058.39 : 164,295.31 = 65,343.51 : x
  2. Step 2: Convert to fraction form
    119,058.39/164,295.31 = 65,343.51/x
  3. Step 3: Cross multiply
    119,058.39x = 164,295.31 × 65,343.51
  4. Step 4: Simplify right side
    119,058.39x = 10,735,632,231.94
  5. Step 5: Solve for x
    x = 10,735,632,231.94/119,058.39
  6. Step 6: Final answer
    x = 90,171.15

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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.