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Finding the Fourth Proportional to 267,857.56, 401,773.32 and 99,410.72

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Solution

The fourth proportional to 267,857.56, 401,773.32 and 99,410.72 is: 149,111.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,857.56 : 401,773.32 = 99,410.72 : x
  2. Step 2: Convert to fraction form
    267,857.56/401,773.32 = 99,410.72/x
  3. Step 3: Cross multiply
    267,857.56x = 401,773.32 × 99,410.72
  4. Step 4: Simplify right side
    267,857.56x = 39,940,575,017.99
  5. Step 5: Solve for x
    x = 39,940,575,017.99/267,857.56
  6. Step 6: Final answer
    x = 149,111.25

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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.