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Finding the Fourth Proportional to 347,843.42, 521,998.95 and 123,203.06

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Solution

The fourth proportional to 347,843.42, 521,998.95 and 123,203.06 is: 184,887.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,843.42 : 521,998.95 = 123,203.06 : x
  2. Step 2: Convert to fraction form
    347,843.42/521,998.95 = 123,203.06/x
  3. Step 3: Cross multiply
    347,843.42x = 521,998.95 × 123,203.06
  4. Step 4: Simplify right side
    347,843.42x = 64,311,867,956.79
  5. Step 5: Solve for x
    x = 64,311,867,956.79/347,843.42
  6. Step 6: Final answer
    x = 184,887.41

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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.