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Finding the Fourth Proportional to 201,723.70, 302,575.82 and 49,920.16

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Solution

The fourth proportional to 201,723.70, 302,575.82 and 49,920.16 is: 74,877.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,723.70 : 302,575.82 = 49,920.16 : x
  2. Step 2: Convert to fraction form
    201,723.70/302,575.82 = 49,920.16/x
  3. Step 3: Cross multiply
    201,723.70x = 302,575.82 × 49,920.16
  4. Step 4: Simplify right side
    201,723.70x = 15,104,633,346.53
  5. Step 5: Solve for x
    x = 15,104,633,346.53/201,723.70
  6. Step 6: Final answer
    x = 74,877.83

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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.