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Finding the Fourth Proportional to 291,299.69, 401,939.92 and 163,948.25

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Solution

The fourth proportional to 291,299.69, 401,939.92 and 163,948.25 is: 226,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,299.69 : 401,939.92 = 163,948.25 : x
  2. Step 2: Convert to fraction form
    291,299.69/401,939.92 = 163,948.25/x
  3. Step 3: Cross multiply
    291,299.69x = 401,939.92 × 163,948.25
  4. Step 4: Simplify right side
    291,299.69x = 65,897,347,698.93
  5. Step 5: Solve for x
    x = 65,897,347,698.93/291,299.69
  6. Step 6: Final answer
    x = 226,218.39

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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.