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Finding the Fourth Proportional to 192,230.40, 288,637.20 and 147,907.20

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Solution

The fourth proportional to 192,230.40, 288,637.20 and 147,907.20 is: 222,085.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,230.40 : 288,637.20 = 147,907.20 : x
  2. Step 2: Convert to fraction form
    192,230.40/288,637.20 = 147,907.20/x
  3. Step 3: Cross multiply
    192,230.40x = 288,637.20 × 147,907.20
  4. Step 4: Simplify right side
    192,230.40x = 42,691,520,067.84
  5. Step 5: Solve for x
    x = 42,691,520,067.84/192,230.40
  6. Step 6: Final answer
    x = 222,085.16

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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.