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Finding the Fourth Proportional to 200,748.98, 301,073.06 and 82,452.98

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Solution

The fourth proportional to 200,748.98, 301,073.06 and 82,452.98 is: 123,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,748.98 : 301,073.06 = 82,452.98 : x
  2. Step 2: Convert to fraction form
    200,748.98/301,073.06 = 82,452.98/x
  3. Step 3: Cross multiply
    200,748.98x = 301,073.06 × 82,452.98
  4. Step 4: Simplify right side
    200,748.98x = 24,824,370,994.72
  5. Step 5: Solve for x
    x = 24,824,370,994.72/200,748.98
  6. Step 6: Final answer
    x = 123,658.77

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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.