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Finding the Fourth Proportional to 200,833.75, 301,238.37 and 82,502.07

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Solution

The fourth proportional to 200,833.75, 301,238.37 and 82,502.07 is: 123,748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,833.75 : 301,238.37 = 82,502.07 : x
  2. Step 2: Convert to fraction form
    200,833.75/301,238.37 = 82,502.07/x
  3. Step 3: Cross multiply
    200,833.75x = 301,238.37 × 82,502.07
  4. Step 4: Simplify right side
    200,833.75x = 24,852,789,088.43
  5. Step 5: Solve for x
    x = 24,852,789,088.43/200,833.75
  6. Step 6: Final answer
    x = 123,748.07

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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.