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Finding the Fourth Proportional to 201,849.87, 302,773.31 and 52,077.45

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Solution

The fourth proportional to 201,849.87, 302,773.31 and 52,077.45 is: 78,115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,849.87 : 302,773.31 = 52,077.45 : x
  2. Step 2: Convert to fraction form
    201,849.87/302,773.31 = 52,077.45/x
  3. Step 3: Cross multiply
    201,849.87x = 302,773.31 × 52,077.45
  4. Step 4: Simplify right side
    201,849.87x = 15,767,661,652.47
  5. Step 5: Solve for x
    x = 15,767,661,652.47/201,849.87
  6. Step 6: Final answer
    x = 78,115.79

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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.