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Finding the Fourth Proportional to 201,772.60, 302,658.09 and 61,530.82

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Solution

The fourth proportional to 201,772.60, 302,658.09 and 61,530.82 is: 92,295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,772.60 : 302,658.09 = 61,530.82 : x
  2. Step 2: Convert to fraction form
    201,772.60/302,658.09 = 61,530.82/x
  3. Step 3: Cross multiply
    201,772.60x = 302,658.09 × 61,530.82
  4. Step 4: Simplify right side
    201,772.60x = 18,622,800,457.33
  5. Step 5: Solve for x
    x = 18,622,800,457.33/201,772.60
  6. Step 6: Final answer
    x = 92,295.98

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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.