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Finding the Fourth Proportional to 268,806.40, 403,193.36 and 119,002.88

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Solution

The fourth proportional to 268,806.40, 403,193.36 and 119,002.88 is: 178,497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,806.40 : 403,193.36 = 119,002.88 : x
  2. Step 2: Convert to fraction form
    268,806.40/403,193.36 = 119,002.88/x
  3. Step 3: Cross multiply
    268,806.40x = 403,193.36 × 119,002.88
  4. Step 4: Simplify right side
    268,806.40x = 47,981,171,036.88
  5. Step 5: Solve for x
    x = 47,981,171,036.88/268,806.40
  6. Step 6: Final answer
    x = 178,497.13

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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.