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Finding the Fourth Proportional to 150,845.17, 208,167.65 and 82,863.53

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Solution

The fourth proportional to 150,845.17, 208,167.65 and 82,863.53 is: 114,352.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,845.17 : 208,167.65 = 82,863.53 : x
  2. Step 2: Convert to fraction form
    150,845.17/208,167.65 = 82,863.53/x
  3. Step 3: Cross multiply
    150,845.17x = 208,167.65 × 82,863.53
  4. Step 4: Simplify right side
    150,845.17x = 17,249,505,477.13
  5. Step 5: Solve for x
    x = 17,249,505,477.13/150,845.17
  6. Step 6: Final answer
    x = 114,352.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.