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Finding the Fourth Proportional to 189,058.56, 283,636.40 and 55,933.44

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Solution

The fourth proportional to 189,058.56, 283,636.40 and 55,933.44 is: 83,914.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,058.56 : 283,636.40 = 55,933.44 : x
  2. Step 2: Convert to fraction form
    189,058.56/283,636.40 = 55,933.44/x
  3. Step 3: Cross multiply
    189,058.56x = 283,636.40 × 55,933.44
  4. Step 4: Simplify right side
    189,058.56x = 15,864,759,561.22
  5. Step 5: Solve for x
    x = 15,864,759,561.22/189,058.56
  6. Step 6: Final answer
    x = 83,914.53

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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.