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Finding the Fourth Proportional to 267,741.33, 401,715.27 and 141,376.47

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Solution

The fourth proportional to 267,741.33, 401,715.27 and 141,376.47 is: 212,119.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,741.33 : 401,715.27 = 141,376.47 : x
  2. Step 2: Convert to fraction form
    267,741.33/401,715.27 = 141,376.47/x
  3. Step 3: Cross multiply
    267,741.33x = 401,715.27 × 141,376.47
  4. Step 4: Simplify right side
    267,741.33x = 56,793,086,817.70
  5. Step 5: Solve for x
    x = 56,793,086,817.70/267,741.33
  6. Step 6: Final answer
    x = 212,119.24

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Why These Related Problems?

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