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Finding the Fourth Proportional to 118,864.82, 178,324.83 and 34,626.98

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Solution

The fourth proportional to 118,864.82, 178,324.83 and 34,626.98 is: 51,948.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,864.82 : 178,324.83 = 34,626.98 : x
  2. Step 2: Convert to fraction form
    118,864.82/178,324.83 = 34,626.98/x
  3. Step 3: Cross multiply
    118,864.82x = 178,324.83 × 34,626.98
  4. Step 4: Simplify right side
    118,864.82x = 6,174,850,321.91
  5. Step 5: Solve for x
    x = 6,174,850,321.91/118,864.82
  6. Step 6: Final answer
    x = 51,948.51

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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.