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Finding the Fourth Proportional to 201,559.40, 302,382.83 and 61,314.38

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Solution

The fourth proportional to 201,559.40, 302,382.83 and 61,314.38 is: 91,984.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,559.40 : 302,382.83 = 61,314.38 : x
  2. Step 2: Convert to fraction form
    201,559.40/302,382.83 = 61,314.38/x
  3. Step 3: Cross multiply
    201,559.40x = 302,382.83 × 61,314.38
  4. Step 4: Simplify right side
    201,559.40x = 18,540,414,385.47
  5. Step 5: Solve for x
    x = 18,540,414,385.47/201,559.40
  6. Step 6: Final answer
    x = 91,984.87

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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.