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Finding the Fourth Proportional to 201,644.70, 302,467.05 and 61,385.10

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Solution

The fourth proportional to 201,644.70, 302,467.05 and 61,385.10 is: 92,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,644.70 : 302,467.05 = 61,385.10 : x
  2. Step 2: Convert to fraction form
    201,644.70/302,467.05 = 61,385.10/x
  3. Step 3: Cross multiply
    201,644.70x = 302,467.05 × 61,385.10
  4. Step 4: Simplify right side
    201,644.70x = 18,566,970,110.96
  5. Step 5: Solve for x
    x = 18,566,970,110.96/201,644.70
  6. Step 6: Final answer
    x = 92,077.65

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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.