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Finding the Fourth Proportional to 136,427.10, 204,663.05 and 42,910.30

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Solution

The fourth proportional to 136,427.10, 204,663.05 and 42,910.30 is: 64,372.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,427.10 : 204,663.05 = 42,910.30 : x
  2. Step 2: Convert to fraction form
    136,427.10/204,663.05 = 42,910.30/x
  3. Step 3: Cross multiply
    136,427.10x = 204,663.05 × 42,910.30
  4. Step 4: Simplify right side
    136,427.10x = 8,782,152,874.42
  5. Step 5: Solve for x
    x = 8,782,152,874.42/136,427.10
  6. Step 6: Final answer
    x = 64,372.50

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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.