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Finding the Fourth Proportional to 201,855.74, 302,773.54 and 75,486.69

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Solution

The fourth proportional to 201,855.74, 302,773.54 and 75,486.69 is: 113,226.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,855.74 : 302,773.54 = 75,486.69 : x
  2. Step 2: Convert to fraction form
    201,855.74/302,773.54 = 75,486.69/x
  3. Step 3: Cross multiply
    201,855.74x = 302,773.54 × 75,486.69
  4. Step 4: Simplify right side
    201,855.74x = 22,855,373,111.12
  5. Step 5: Solve for x
    x = 22,855,373,111.12/201,855.74
  6. Step 6: Final answer
    x = 113,226.27

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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.