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Finding the Fourth Proportional to 270,133.96, 404,919.37 and 101,538.13

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Solution

The fourth proportional to 270,133.96, 404,919.37 and 101,538.13 is: 152,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,133.96 : 404,919.37 = 101,538.13 : x
  2. Step 2: Convert to fraction form
    270,133.96/404,919.37 = 101,538.13/x
  3. Step 3: Cross multiply
    270,133.96x = 404,919.37 × 101,538.13
  4. Step 4: Simplify right side
    270,133.96x = 41,114,755,630.58
  5. Step 5: Solve for x
    x = 41,114,755,630.58/270,133.96
  6. Step 6: Final answer
    x = 152,201.36

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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.