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Finding the Fourth Proportional to 113,164.38, 156,186.09 and 65,446.74

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Solution

The fourth proportional to 113,164.38, 156,186.09 and 65,446.74 is: 90,327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,164.38 : 156,186.09 = 65,446.74 : x
  2. Step 2: Convert to fraction form
    113,164.38/156,186.09 = 65,446.74/x
  3. Step 3: Cross multiply
    113,164.38x = 156,186.09 × 65,446.74
  4. Step 4: Simplify right side
    113,164.38x = 10,221,870,423.85
  5. Step 5: Solve for x
    x = 10,221,870,423.85/113,164.38
  6. Step 6: Final answer
    x = 90,327.63

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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.