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Finding the Fourth Proportional to 119,309.36, 164,642.68 and 65,593.95

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Solution

The fourth proportional to 119,309.36, 164,642.68 and 65,593.95 is: 90,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,309.36 : 164,642.68 = 65,593.95 : x
  2. Step 2: Convert to fraction form
    119,309.36/164,642.68 = 65,593.95/x
  3. Step 3: Cross multiply
    119,309.36x = 164,642.68 × 65,593.95
  4. Step 4: Simplify right side
    119,309.36x = 10,799,563,741.52
  5. Step 5: Solve for x
    x = 10,799,563,741.52/119,309.36
  6. Step 6: Final answer
    x = 90,517.33

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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.