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Finding the Fourth Proportional to 192,236.40, 288,646.20 and 147,913.20

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Solution

The fourth proportional to 192,236.40, 288,646.20 and 147,913.20 is: 222,094.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,236.40 : 288,646.20 = 147,913.20 : x
  2. Step 2: Convert to fraction form
    192,236.40/288,646.20 = 147,913.20/x
  3. Step 3: Cross multiply
    192,236.40x = 288,646.20 × 147,913.20
  4. Step 4: Simplify right side
    192,236.40x = 42,694,583,109.84
  5. Step 5: Solve for x
    x = 42,694,583,109.84/192,236.40
  6. Step 6: Final answer
    x = 222,094.17

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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.