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Finding the Fourth Proportional to 200,788.47, 301,174.50 and 82,456.73

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Solution

The fourth proportional to 200,788.47, 301,174.50 and 82,456.73 is: 123,681.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,788.47 : 301,174.50 = 82,456.73 : x
  2. Step 2: Convert to fraction form
    200,788.47/301,174.50 = 82,456.73/x
  3. Step 3: Cross multiply
    200,788.47x = 301,174.50 × 82,456.73
  4. Step 4: Simplify right side
    200,788.47x = 24,833,866,056.24
  5. Step 5: Solve for x
    x = 24,833,866,056.24/200,788.47
  6. Step 6: Final answer
    x = 123,681.73

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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.