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Finding the Fourth Proportional to 347,840.92, 521,995.20 and 123,200.56

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Solution

The fourth proportional to 347,840.92, 521,995.20 and 123,200.56 is: 184,883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,840.92 : 521,995.20 = 123,200.56 : x
  2. Step 2: Convert to fraction form
    347,840.92/521,995.20 = 123,200.56/x
  3. Step 3: Cross multiply
    347,840.92x = 521,995.20 × 123,200.56
  4. Step 4: Simplify right side
    347,840.92x = 64,310,100,957.31
  5. Step 5: Solve for x
    x = 64,310,100,957.31/347,840.92
  6. Step 6: Final answer
    x = 184,883.66

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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.