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Finding the Fourth Proportional to 201,889.90, 302,834.85 and 61,648.30

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Solution

The fourth proportional to 201,889.90, 302,834.85 and 61,648.30 is: 92,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,889.90 : 302,834.85 = 61,648.30 : x
  2. Step 2: Convert to fraction form
    201,889.90/302,834.85 = 61,648.30/x
  3. Step 3: Cross multiply
    201,889.90x = 302,834.85 × 61,648.30
  4. Step 4: Simplify right side
    201,889.90x = 18,669,253,683.26
  5. Step 5: Solve for x
    x = 18,669,253,683.26/201,889.90
  6. Step 6: Final answer
    x = 92,472.45

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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.