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Finding the Fourth Proportional to 293,958.32, 405,659.88 and 159,822.32

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Solution

The fourth proportional to 293,958.32, 405,659.88 and 159,822.32 is: 220,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,958.32 : 405,659.88 = 159,822.32 : x
  2. Step 2: Convert to fraction form
    293,958.32/405,659.88 = 159,822.32/x
  3. Step 3: Cross multiply
    293,958.32x = 405,659.88 × 159,822.32
  4. Step 4: Simplify right side
    293,958.32x = 64,833,503,152.52
  5. Step 5: Solve for x
    x = 64,833,503,152.52/293,958.32
  6. Step 6: Final answer
    x = 220,553.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.