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Finding the Fourth Proportional to 119,561.93, 164,989.06 and 65,836.46

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Solution

The fourth proportional to 119,561.93, 164,989.06 and 65,836.46 is: 90,850.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,561.93 : 164,989.06 = 65,836.46 : x
  2. Step 2: Convert to fraction form
    119,561.93/164,989.06 = 65,836.46/x
  3. Step 3: Cross multiply
    119,561.93x = 164,989.06 × 65,836.46
  4. Step 4: Simplify right side
    119,561.93x = 10,862,295,649.13
  5. Step 5: Solve for x
    x = 10,862,295,649.13/119,561.93
  6. Step 6: Final answer
    x = 90,850.79

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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.