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Finding the Fourth Proportional to 178,896.76, 246,857.70 and 107,279.80

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Solution

The fourth proportional to 178,896.76, 246,857.70 and 107,279.80 is: 148,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,896.76 : 246,857.70 = 107,279.80 : x
  2. Step 2: Convert to fraction form
    178,896.76/246,857.70 = 107,279.80/x
  3. Step 3: Cross multiply
    178,896.76x = 246,857.70 × 107,279.80
  4. Step 4: Simplify right side
    178,896.76x = 26,482,844,684.46
  5. Step 5: Solve for x
    x = 26,482,844,684.46/178,896.76
  6. Step 6: Final answer
    x = 148,034.23

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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.