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Finding the Fourth Proportional to 347,841.92, 521,996.70 and 123,201.56

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Solution

The fourth proportional to 347,841.92, 521,996.70 and 123,201.56 is: 184,885.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,841.92 : 521,996.70 = 123,201.56 : x
  2. Step 2: Convert to fraction form
    347,841.92/521,996.70 = 123,201.56/x
  3. Step 3: Cross multiply
    347,841.92x = 521,996.70 × 123,201.56
  4. Step 4: Simplify right side
    347,841.92x = 64,310,807,754.85
  5. Step 5: Solve for x
    x = 64,310,807,754.85/347,841.92
  6. Step 6: Final answer
    x = 184,885.16

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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.