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Finding the Fourth Proportional to 267,599.80, 401,453.70 and 78,059.80

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Solution

The fourth proportional to 267,599.80, 401,453.70 and 78,059.80 is: 117,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,599.80 : 401,453.70 = 78,059.80 : x
  2. Step 2: Convert to fraction form
    267,599.80/401,453.70 = 78,059.80/x
  3. Step 3: Cross multiply
    267,599.80x = 401,453.70 × 78,059.80
  4. Step 4: Simplify right side
    267,599.80x = 31,337,395,531.26
  5. Step 5: Solve for x
    x = 31,337,395,531.26/267,599.80
  6. Step 6: Final answer
    x = 117,105.45

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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.