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Finding the Fourth Proportional to 205,548.48, 283,538.61 and 120,649.14

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Solution

The fourth proportional to 205,548.48, 283,538.61 and 120,649.14 is: 166,426.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,548.48 : 283,538.61 = 120,649.14 : x
  2. Step 2: Convert to fraction form
    205,548.48/283,538.61 = 120,649.14/x
  3. Step 3: Cross multiply
    205,548.48x = 283,538.61 × 120,649.14
  4. Step 4: Simplify right side
    205,548.48x = 34,208,689,453.30
  5. Step 5: Solve for x
    x = 34,208,689,453.30/205,548.48
  6. Step 6: Final answer
    x = 166,426.38

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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.