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Finding the Fourth Proportional to 401,350.26, 602,114.13 and 135,102

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Solution

The fourth proportional to 401,350.26, 602,114.13 and 135,102 is: 202,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,350.26 : 602,114.13 = 135,102 : x
  2. Step 2: Convert to fraction form
    401,350.26/602,114.13 = 135,102/x
  3. Step 3: Cross multiply
    401,350.26x = 602,114.13 × 135,102
  4. Step 4: Simplify right side
    401,350.26x = 81,346,823,191.26
  5. Step 5: Solve for x
    x = 81,346,823,191.26/401,350.26
  6. Step 6: Final answer
    x = 202,682.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.