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Finding the Fourth Proportional to 192,435.20, 288,652.80 and 109,491.20

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Solution

The fourth proportional to 192,435.20, 288,652.80 and 109,491.20 is: 164,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,435.20 : 288,652.80 = 109,491.20 : x
  2. Step 2: Convert to fraction form
    192,435.20/288,652.80 = 109,491.20/x
  3. Step 3: Cross multiply
    192,435.20x = 288,652.80 × 109,491.20
  4. Step 4: Simplify right side
    192,435.20x = 31,604,941,455.36
  5. Step 5: Solve for x
    x = 31,604,941,455.36/192,435.20
  6. Step 6: Final answer
    x = 164,236.80

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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.