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Finding the Fourth Proportional to 201,319.84, 301,758.32 and 82,926.59

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Solution

The fourth proportional to 201,319.84, 301,758.32 and 82,926.59 is: 124,298.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,319.84 : 301,758.32 = 82,926.59 : x
  2. Step 2: Convert to fraction form
    201,319.84/301,758.32 = 82,926.59/x
  3. Step 3: Cross multiply
    201,319.84x = 301,758.32 × 82,926.59
  4. Step 4: Simplify right side
    201,319.84x = 25,023,789,443.44
  5. Step 5: Solve for x
    x = 25,023,789,443.44/201,319.84
  6. Step 6: Final answer
    x = 124,298.68

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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.