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Finding the Fourth Proportional to 381,026.16, 525,815.96 and 206,596.51

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Solution

The fourth proportional to 381,026.16, 525,815.96 and 206,596.51 is: 285,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,026.16 : 525,815.96 = 206,596.51 : x
  2. Step 2: Convert to fraction form
    381,026.16/525,815.96 = 206,596.51/x
  3. Step 3: Cross multiply
    381,026.16x = 525,815.96 × 206,596.51
  4. Step 4: Simplify right side
    381,026.16x = 108,631,739,890.78
  5. Step 5: Solve for x
    x = 108,631,739,890.78/381,026.16
  6. Step 6: Final answer
    x = 285,103.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.