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Finding the Fourth Proportional to 293,620.38, 405,196.52 and 159,484.38

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Solution

The fourth proportional to 293,620.38, 405,196.52 and 159,484.38 is: 220,088.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,620.38 : 405,196.52 = 159,484.38 : x
  2. Step 2: Convert to fraction form
    293,620.38/405,196.52 = 159,484.38/x
  3. Step 3: Cross multiply
    293,620.38x = 405,196.52 × 159,484.38
  4. Step 4: Simplify right side
    293,620.38x = 64,622,515,770.36
  5. Step 5: Solve for x
    x = 64,622,515,770.36/293,620.38
  6. Step 6: Final answer
    x = 220,088.66

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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.