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Finding the Fourth Proportional to 268,696.14, 370,800.63 and 147,834.78

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Solution

The fourth proportional to 268,696.14, 370,800.63 and 147,834.78 is: 204,011.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,696.14 : 370,800.63 = 147,834.78 : x
  2. Step 2: Convert to fraction form
    268,696.14/370,800.63 = 147,834.78/x
  3. Step 3: Cross multiply
    268,696.14x = 370,800.63 × 147,834.78
  4. Step 4: Simplify right side
    268,696.14x = 54,817,229,559.91
  5. Step 5: Solve for x
    x = 54,817,229,559.91/268,696.14
  6. Step 6: Final answer
    x = 204,011.97

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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.