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Finding the Fourth Proportional to 196,588.40, 294,882.91 and 84,259.82

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Solution

The fourth proportional to 196,588.40, 294,882.91 and 84,259.82 is: 126,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,588.40 : 294,882.91 = 84,259.82 : x
  2. Step 2: Convert to fraction form
    196,588.40/294,882.91 = 84,259.82/x
  3. Step 3: Cross multiply
    196,588.40x = 294,882.91 × 84,259.82
  4. Step 4: Simplify right side
    196,588.40x = 24,846,781,444.23
  5. Step 5: Solve for x
    x = 24,846,781,444.23/196,588.40
  6. Step 6: Final answer
    x = 126,389.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.