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Finding the Fourth Proportional to 291,286.13, 401,921.20 and 163,934.69

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Solution

The fourth proportional to 291,286.13, 401,921.20 and 163,934.69 is: 226,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,286.13 : 401,921.20 = 163,934.69 : x
  2. Step 2: Convert to fraction form
    291,286.13/401,921.20 = 163,934.69/x
  3. Step 3: Cross multiply
    291,286.13x = 401,921.20 × 163,934.69
  4. Step 4: Simplify right side
    291,286.13x = 65,888,827,326.43
  5. Step 5: Solve for x
    x = 65,888,827,326.43/291,286.13
  6. Step 6: Final answer
    x = 226,199.67

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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.