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Finding the Fourth Proportional to 197,668.77, 296,441.79 and 71,292.59

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Solution

The fourth proportional to 197,668.77, 296,441.79 and 71,292.59 is: 106,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,668.77 : 296,441.79 = 71,292.59 : x
  2. Step 2: Convert to fraction form
    197,668.77/296,441.79 = 71,292.59/x
  3. Step 3: Cross multiply
    197,668.77x = 296,441.79 × 71,292.59
  4. Step 4: Simplify right side
    197,668.77x = 21,134,102,756.46
  5. Step 5: Solve for x
    x = 21,134,102,756.46/197,668.77
  6. Step 6: Final answer
    x = 106,916.75

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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.