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Finding the Fourth Proportional to 293,722.29, 405,356.81 and 166,398.93

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Solution

The fourth proportional to 293,722.29, 405,356.81 and 166,398.93 is: 229,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,722.29 : 405,356.81 = 166,398.93 : x
  2. Step 2: Convert to fraction form
    293,722.29/405,356.81 = 166,398.93/x
  3. Step 3: Cross multiply
    293,722.29x = 405,356.81 × 166,398.93
  4. Step 4: Simplify right side
    293,722.29x = 67,450,939,452.21
  5. Step 5: Solve for x
    x = 67,450,939,452.21/293,722.29
  6. Step 6: Final answer
    x = 229,641.88

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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.