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Finding the Fourth Proportional to 196,595.78, 294,836.60 and 76,626

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Solution

The fourth proportional to 196,595.78, 294,836.60 and 76,626 is: 114,916.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,595.78 : 294,836.60 = 76,626 : x
  2. Step 2: Convert to fraction form
    196,595.78/294,836.60 = 76,626/x
  3. Step 3: Cross multiply
    196,595.78x = 294,836.60 × 76,626
  4. Step 4: Simplify right side
    196,595.78x = 22,592,149,503.17
  5. Step 5: Solve for x
    x = 22,592,149,503.17/196,595.78
  6. Step 6: Final answer
    x = 114,916.76

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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.