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Finding the Fourth Proportional to 347,842.92, 521,998.20 and 123,202.56

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Solution

The fourth proportional to 347,842.92, 521,998.20 and 123,202.56 is: 184,886.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,842.92 : 521,998.20 = 123,202.56 : x
  2. Step 2: Convert to fraction form
    347,842.92/521,998.20 = 123,202.56/x
  3. Step 3: Cross multiply
    347,842.92x = 521,998.20 × 123,202.56
  4. Step 4: Simplify right side
    347,842.92x = 64,311,514,555.39
  5. Step 5: Solve for x
    x = 64,311,514,555.39/347,842.92
  6. Step 6: Final answer
    x = 184,886.66

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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.