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Finding the Fourth Proportional to 267,788.64, 401,666.46 and 110,013

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Solution

The fourth proportional to 267,788.64, 401,666.46 and 110,013 is: 165,012.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,788.64 : 401,666.46 = 110,013 : x
  2. Step 2: Convert to fraction form
    267,788.64/401,666.46 = 110,013/x
  3. Step 3: Cross multiply
    267,788.64x = 401,666.46 × 110,013
  4. Step 4: Simplify right side
    267,788.64x = 44,188,532,263.98
  5. Step 5: Solve for x
    x = 44,188,532,263.98/267,788.64
  6. Step 6: Final answer
    x = 165,012.72

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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.