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Finding the Fourth Proportional to 274,483.73, 411,440.14 and 106,119.69

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Solution

The fourth proportional to 274,483.73, 411,440.14 and 106,119.69 is: 159,069.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,483.73 : 411,440.14 = 106,119.69 : x
  2. Step 2: Convert to fraction form
    274,483.73/411,440.14 = 106,119.69/x
  3. Step 3: Cross multiply
    274,483.73x = 411,440.14 × 106,119.69
  4. Step 4: Simplify right side
    274,483.73x = 43,661,900,110.36
  5. Step 5: Solve for x
    x = 43,661,900,110.36/274,483.73
  6. Step 6: Final answer
    x = 159,069.17

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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.