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Finding the Fourth Proportional to 197,346.80, 296,020.20 and 197,346.80

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Solution

The fourth proportional to 197,346.80, 296,020.20 and 197,346.80 is: 296,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,346.80 : 296,020.20 = 197,346.80 : x
  2. Step 2: Convert to fraction form
    197,346.80/296,020.20 = 197,346.80/x
  3. Step 3: Cross multiply
    197,346.80x = 296,020.20 × 197,346.80
  4. Step 4: Simplify right side
    197,346.80x = 58,418,639,205.36
  5. Step 5: Solve for x
    x = 58,418,639,205.36/197,346.80
  6. Step 6: Final answer
    x = 296,020.20

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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.