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Finding the Fourth Proportional to 192,043.20, 288,064.80 and 109,099.20

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Solution

The fourth proportional to 192,043.20, 288,064.80 and 109,099.20 is: 163,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,043.20 : 288,064.80 = 109,099.20 : x
  2. Step 2: Convert to fraction form
    192,043.20/288,064.80 = 109,099.20/x
  3. Step 3: Cross multiply
    192,043.20x = 288,064.80 × 109,099.20
  4. Step 4: Simplify right side
    192,043.20x = 31,427,639,228.16
  5. Step 5: Solve for x
    x = 31,427,639,228.16/192,043.20
  6. Step 6: Final answer
    x = 163,648.80

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1.5x scale

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.