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Finding the Fourth Proportional to 119,494.94, 164,901.87 and 65,778.57

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Solution

The fourth proportional to 119,494.94, 164,901.87 and 65,778.57 is: 90,773.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,494.94 : 164,901.87 = 65,778.57 : x
  2. Step 2: Convert to fraction form
    119,494.94/164,901.87 = 65,778.57/x
  3. Step 3: Cross multiply
    119,494.94x = 164,901.87 × 65,778.57
  4. Step 4: Simplify right side
    119,494.94x = 10,847,009,198.93
  5. Step 5: Solve for x
    x = 10,847,009,198.93/119,494.94
  6. Step 6: Final answer
    x = 90,773.80

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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.