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Finding the Fourth Proportional to 164,806.40, 247,286.40 and 123,334.40

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Solution

The fourth proportional to 164,806.40, 247,286.40 and 123,334.40 is: 185,059.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,806.40 : 247,286.40 = 123,334.40 : x
  2. Step 2: Convert to fraction form
    164,806.40/247,286.40 = 123,334.40/x
  3. Step 3: Cross multiply
    164,806.40x = 247,286.40 × 123,334.40
  4. Step 4: Simplify right side
    164,806.40x = 30,498,919,772.16
  5. Step 5: Solve for x
    x = 30,498,919,772.16/164,806.40
  6. Step 6: Final answer
    x = 185,059.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.