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Finding the Fourth Proportional to 291,138.24, 401,782.56 and 162,082

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Solution

The fourth proportional to 291,138.24, 401,782.56 and 162,082 is: 223,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,138.24 : 401,782.56 = 162,082 : x
  2. Step 2: Convert to fraction form
    291,138.24/401,782.56 = 162,082/x
  3. Step 3: Cross multiply
    291,138.24x = 401,782.56 × 162,082
  4. Step 4: Simplify right side
    291,138.24x = 65,121,720,889.92
  5. Step 5: Solve for x
    x = 65,121,720,889.92/291,138.24
  6. Step 6: Final answer
    x = 223,679.72

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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.