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Finding the Fourth Proportional to 119,054.57, 164,297.34 and 65,344.59

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Solution

The fourth proportional to 119,054.57, 164,297.34 and 65,344.59 is: 90,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,054.57 : 164,297.34 = 65,344.59 : x
  2. Step 2: Convert to fraction form
    119,054.57/164,297.34 = 65,344.59/x
  3. Step 3: Cross multiply
    119,054.57x = 164,297.34 × 65,344.59
  4. Step 4: Simplify right side
    119,054.57x = 10,735,942,320.39
  5. Step 5: Solve for x
    x = 10,735,942,320.39/119,054.57
  6. Step 6: Final answer
    x = 90,176.65

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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.