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Finding the Fourth Proportional to 189,071.62, 283,648.43 and 55,961.23

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Solution

The fourth proportional to 189,071.62, 283,648.43 and 55,961.23 is: 83,953.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,071.62 : 283,648.43 = 55,961.23 : x
  2. Step 2: Convert to fraction form
    189,071.62/283,648.43 = 55,961.23/x
  3. Step 3: Cross multiply
    189,071.62x = 283,648.43 × 55,961.23
  4. Step 4: Simplify right side
    189,071.62x = 15,873,314,992.99
  5. Step 5: Solve for x
    x = 15,873,314,992.99/189,071.62
  6. Step 6: Final answer
    x = 83,953.98

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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.