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Finding the Fourth Proportional to 159,197.78, 219,672.92 and 107,627.03

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Solution

The fourth proportional to 159,197.78, 219,672.92 and 107,627.03 is: 148,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,197.78 : 219,672.92 = 107,627.03 : x
  2. Step 2: Convert to fraction form
    159,197.78/219,672.92 = 107,627.03/x
  3. Step 3: Cross multiply
    159,197.78x = 219,672.92 × 107,627.03
  4. Step 4: Simplify right side
    159,197.78x = 23,642,743,945.50
  5. Step 5: Solve for x
    x = 23,642,743,945.50/159,197.78
  6. Step 6: Final answer
    x = 148,511.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.