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Finding the Fourth Proportional to 205,249.50, 283,241.38 and 114,606.90

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Solution

The fourth proportional to 205,249.50, 283,241.38 and 114,606.90 is: 158,155.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,249.50 : 283,241.38 = 114,606.90 : x
  2. Step 2: Convert to fraction form
    205,249.50/283,241.38 = 114,606.90/x
  3. Step 3: Cross multiply
    205,249.50x = 283,241.38 × 114,606.90
  4. Step 4: Simplify right side
    205,249.50x = 32,461,416,513.52
  5. Step 5: Solve for x
    x = 32,461,416,513.52/205,249.50
  6. Step 6: Final answer
    x = 158,155.89

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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.