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Finding the Fourth Proportional to 291,136.24, 401,779.80 and 162,080

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Solution

The fourth proportional to 291,136.24, 401,779.80 and 162,080 is: 223,676.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,136.24 : 401,779.80 = 162,080 : x
  2. Step 2: Convert to fraction form
    291,136.24/401,779.80 = 162,080/x
  3. Step 3: Cross multiply
    291,136.24x = 401,779.80 × 162,080
  4. Step 4: Simplify right side
    291,136.24x = 65,120,469,984
  5. Step 5: Solve for x
    x = 65,120,469,984/291,136.24
  6. Step 6: Final answer
    x = 223,676.96

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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.