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Finding the Fourth Proportional to 291,143.96, 401,786.50 and 163,824.04

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Solution

The fourth proportional to 291,143.96, 401,786.50 and 163,824.04 is: 226,081.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,143.96 : 401,786.50 = 163,824.04 : x
  2. Step 2: Convert to fraction form
    291,143.96/401,786.50 = 163,824.04/x
  3. Step 3: Cross multiply
    291,143.96x = 401,786.50 × 163,824.04
  4. Step 4: Simplify right side
    291,143.96x = 65,822,287,647.46
  5. Step 5: Solve for x
    x = 65,822,287,647.46/291,143.96
  6. Step 6: Final answer
    x = 226,081.58

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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.