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Finding the Fourth Proportional to 199,908.80, 299,863.20 and 106,596.80

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Solution

The fourth proportional to 199,908.80, 299,863.20 and 106,596.80 is: 159,895.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,908.80 : 299,863.20 = 106,596.80 : x
  2. Step 2: Convert to fraction form
    199,908.80/299,863.20 = 106,596.80/x
  3. Step 3: Cross multiply
    199,908.80x = 299,863.20 × 106,596.80
  4. Step 4: Simplify right side
    199,908.80x = 31,964,457,557.76
  5. Step 5: Solve for x
    x = 31,964,457,557.76/199,908.80
  6. Step 6: Final answer
    x = 159,895.20

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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.