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Finding the Fourth Proportional to 189,358.39, 284,053.38 and 54,422.92

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Solution

The fourth proportional to 189,358.39, 284,053.38 and 54,422.92 is: 81,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,358.39 : 284,053.38 = 54,422.92 : x
  2. Step 2: Convert to fraction form
    189,358.39/284,053.38 = 54,422.92/x
  3. Step 3: Cross multiply
    189,358.39x = 284,053.38 × 54,422.92
  4. Step 4: Simplify right side
    189,358.39x = 15,459,014,375.47
  5. Step 5: Solve for x
    x = 15,459,014,375.47/189,358.39
  6. Step 6: Final answer
    x = 81,638.92

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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.