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Finding the Fourth Proportional to 293,722.42, 405,356.98 and 166,399.06

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Solution

The fourth proportional to 293,722.42, 405,356.98 and 166,399.06 is: 229,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,722.42 : 405,356.98 = 166,399.06 : x
  2. Step 2: Convert to fraction form
    293,722.42/405,356.98 = 166,399.06/x
  3. Step 3: Cross multiply
    293,722.42x = 405,356.98 × 166,399.06
  4. Step 4: Simplify right side
    293,722.42x = 67,451,018,409.65
  5. Step 5: Solve for x
    x = 67,451,018,409.65/293,722.42
  6. Step 6: Final answer
    x = 229,642.05

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