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Finding the Fourth Proportional to 178,174, 245,872.92 and 106,593.58

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Solution

The fourth proportional to 178,174, 245,872.92 and 106,593.58 is: 147,094.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,174 : 245,872.92 = 106,593.58 : x
  2. Step 2: Convert to fraction form
    178,174/245,872.92 = 106,593.58/x
  3. Step 3: Cross multiply
    178,174x = 245,872.92 × 106,593.58
  4. Step 4: Simplify right side
    178,174x = 26,208,474,767.85
  5. Step 5: Solve for x
    x = 26,208,474,767.85/178,174
  6. Step 6: Final answer
    x = 147,094.83

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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.