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Finding the Fourth Proportional to 102,284.92, 141,336.26 and 79,682.28

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Solution

The fourth proportional to 102,284.92, 141,336.26 and 79,682.28 is: 110,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,284.92 : 141,336.26 = 79,682.28 : x
  2. Step 2: Convert to fraction form
    102,284.92/141,336.26 = 79,682.28/x
  3. Step 3: Cross multiply
    102,284.92x = 141,336.26 × 79,682.28
  4. Step 4: Simplify right side
    102,284.92x = 11,261,994,338.38
  5. Step 5: Solve for x
    x = 11,261,994,338.38/102,284.92
  6. Step 6: Final answer
    x = 110,104.15

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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.