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Finding the Fourth Proportional to 117,872.99, 162,738.21 and 82,049.93

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Solution

The fourth proportional to 117,872.99, 162,738.21 and 82,049.93 is: 113,280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,872.99 : 162,738.21 = 82,049.93 : x
  2. Step 2: Convert to fraction form
    117,872.99/162,738.21 = 82,049.93/x
  3. Step 3: Cross multiply
    117,872.99x = 162,738.21 × 82,049.93
  4. Step 4: Simplify right side
    117,872.99x = 13,352,657,925.13
  5. Step 5: Solve for x
    x = 13,352,657,925.13/117,872.99
  6. Step 6: Final answer
    x = 113,280.05

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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.