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Finding the Fourth Proportional to 435,142.41, 652,745.22 and 182,168.47

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Solution

The fourth proportional to 435,142.41, 652,745.22 and 182,168.47 is: 273,265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,142.41 : 652,745.22 = 182,168.47 : x
  2. Step 2: Convert to fraction form
    435,142.41/652,745.22 = 182,168.47/x
  3. Step 3: Cross multiply
    435,142.41x = 652,745.22 × 182,168.47
  4. Step 4: Simplify right side
    435,142.41x = 118,909,598,027.21
  5. Step 5: Solve for x
    x = 118,909,598,027.21/435,142.41
  6. Step 6: Final answer
    x = 273,265.94

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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.