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Finding the Fourth Proportional to 143,132.97, 214,699.46 and 54,365.48

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Solution

The fourth proportional to 143,132.97, 214,699.46 and 54,365.48 is: 81,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,132.97 : 214,699.46 = 54,365.48 : x
  2. Step 2: Convert to fraction form
    143,132.97/214,699.46 = 54,365.48/x
  3. Step 3: Cross multiply
    143,132.97x = 214,699.46 × 54,365.48
  4. Step 4: Simplify right side
    143,132.97x = 11,672,237,853.32
  5. Step 5: Solve for x
    x = 11,672,237,853.32/143,132.97
  6. Step 6: Final answer
    x = 81,548.21

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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.