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Finding the Fourth Proportional to 117,713.38, 162,511.41 and 77,543.86

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Solution

The fourth proportional to 117,713.38, 162,511.41 and 77,543.86 is: 107,054.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,713.38 : 162,511.41 = 77,543.86 : x
  2. Step 2: Convert to fraction form
    117,713.38/162,511.41 = 77,543.86/x
  3. Step 3: Cross multiply
    117,713.38x = 162,511.41 × 77,543.86
  4. Step 4: Simplify right side
    117,713.38x = 12,601,762,025.44
  5. Step 5: Solve for x
    x = 12,601,762,025.44/117,713.38
  6. Step 6: Final answer
    x = 107,054.63

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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.