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Finding the Fourth Proportional to 201,543.44, 302,227.61 and 61,269.26

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Solution

The fourth proportional to 201,543.44, 302,227.61 and 61,269.26 is: 91,877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,543.44 : 302,227.61 = 61,269.26 : x
  2. Step 2: Convert to fraction form
    201,543.44/302,227.61 = 61,269.26/x
  3. Step 3: Cross multiply
    201,543.44x = 302,227.61 × 61,269.26
  4. Step 4: Simplify right side
    201,543.44x = 18,517,261,898.81
  5. Step 5: Solve for x
    x = 18,517,261,898.81/201,543.44
  6. Step 6: Final answer
    x = 91,877.27

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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.