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Finding the Fourth Proportional to 207,957.60, 311,936.43 and 50,186.06

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Solution

The fourth proportional to 207,957.60, 311,936.43 and 50,186.06 is: 75,279.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,957.60 : 311,936.43 = 50,186.06 : x
  2. Step 2: Convert to fraction form
    207,957.60/311,936.43 = 50,186.06/x
  3. Step 3: Cross multiply
    207,957.60x = 311,936.43 × 50,186.06
  4. Step 4: Simplify right side
    207,957.60x = 15,654,860,392.17
  5. Step 5: Solve for x
    x = 15,654,860,392.17/207,957.60
  6. Step 6: Final answer
    x = 75,279.10

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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.