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Finding the Fourth Proportional to 189,363.30, 261,416.04 and 117,766.38

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Solution

The fourth proportional to 189,363.30, 261,416.04 and 117,766.38 is: 162,576.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,363.30 : 261,416.04 = 117,766.38 : x
  2. Step 2: Convert to fraction form
    189,363.30/261,416.04 = 117,766.38/x
  3. Step 3: Cross multiply
    189,363.30x = 261,416.04 × 117,766.38
  4. Step 4: Simplify right side
    189,363.30x = 30,786,022,126.67
  5. Step 5: Solve for x
    x = 30,786,022,126.67/189,363.30
  6. Step 6: Final answer
    x = 162,576.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.