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Finding the Fourth Proportional to 267,745.53, 401,071.54 and 149,479.86

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Solution

The fourth proportional to 267,745.53, 401,071.54 and 149,479.86 is: 223,914.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,745.53 : 401,071.54 = 149,479.86 : x
  2. Step 2: Convert to fraction form
    267,745.53/401,071.54 = 149,479.86/x
  3. Step 3: Cross multiply
    267,745.53x = 401,071.54 × 149,479.86
  4. Step 4: Simplify right side
    267,745.53x = 59,952,117,649.18
  5. Step 5: Solve for x
    x = 59,952,117,649.18/267,745.53
  6. Step 6: Final answer
    x = 223,914.54

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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.