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Finding the Fourth Proportional to 201,320.09, 301,758.70 and 82,926.84

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Solution

The fourth proportional to 201,320.09, 301,758.70 and 82,926.84 is: 124,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,320.09 : 301,758.70 = 82,926.84 : x
  2. Step 2: Convert to fraction form
    201,320.09/301,758.70 = 82,926.84/x
  3. Step 3: Cross multiply
    201,320.09x = 301,758.70 × 82,926.84
  4. Step 4: Simplify right side
    201,320.09x = 25,023,895,433.51
  5. Step 5: Solve for x
    x = 25,023,895,433.51/201,320.09
  6. Step 6: Final answer
    x = 124,299.05

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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.