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Finding the Fourth Proportional to 177,857.88, 245,443.50 and 106,279.80

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Solution

The fourth proportional to 177,857.88, 245,443.50 and 106,279.80 is: 146,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,857.88 : 245,443.50 = 106,279.80 : x
  2. Step 2: Convert to fraction form
    177,857.88/245,443.50 = 106,279.80/x
  3. Step 3: Cross multiply
    177,857.88x = 245,443.50 × 106,279.80
  4. Step 4: Simplify right side
    177,857.88x = 26,085,686,091.30
  5. Step 5: Solve for x
    x = 26,085,686,091.30/177,857.88
  6. Step 6: Final answer
    x = 146,665.90

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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.