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Finding the Fourth Proportional to 192,234.40, 288,643.20 and 147,911.20

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Solution

The fourth proportional to 192,234.40, 288,643.20 and 147,911.20 is: 222,091.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,234.40 : 288,643.20 = 147,911.20 : x
  2. Step 2: Convert to fraction form
    192,234.40/288,643.20 = 147,911.20/x
  3. Step 3: Cross multiply
    192,234.40x = 288,643.20 × 147,911.20
  4. Step 4: Simplify right side
    192,234.40x = 42,693,562,083.84
  5. Step 5: Solve for x
    x = 42,693,562,083.84/192,234.40
  6. Step 6: Final answer
    x = 222,091.17

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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.