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Finding the Fourth Proportional to 267,817.77, 401,794.29 and 123,654.06

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Solution

The fourth proportional to 267,817.77, 401,794.29 and 123,654.06 is: 185,512.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,817.77 : 401,794.29 = 123,654.06 : x
  2. Step 2: Convert to fraction form
    267,817.77/401,794.29 = 123,654.06/x
  3. Step 3: Cross multiply
    267,817.77x = 401,794.29 × 123,654.06
  4. Step 4: Simplify right side
    267,817.77x = 49,683,495,243.32
  5. Step 5: Solve for x
    x = 49,683,495,243.32/267,817.77
  6. Step 6: Final answer
    x = 185,512.32

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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.