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Finding the Fourth Proportional to 143,322.40, 214,902.60 and 54,578.80

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Solution

The fourth proportional to 143,322.40, 214,902.60 and 54,578.80 is: 81,837.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,322.40 : 214,902.60 = 54,578.80 : x
  2. Step 2: Convert to fraction form
    143,322.40/214,902.60 = 54,578.80/x
  3. Step 3: Cross multiply
    143,322.40x = 214,902.60 × 54,578.80
  4. Step 4: Simplify right side
    143,322.40x = 11,729,126,024.88
  5. Step 5: Solve for x
    x = 11,729,126,024.88/143,322.40
  6. Step 6: Final answer
    x = 81,837.35

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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.