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Finding the Fourth Proportional to 102,298.41, 141,168.83 and 56,976.41

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Solution

The fourth proportional to 102,298.41, 141,168.83 and 56,976.41 is: 78,625.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,298.41 : 141,168.83 = 56,976.41 : x
  2. Step 2: Convert to fraction form
    102,298.41/141,168.83 = 56,976.41/x
  3. Step 3: Cross multiply
    102,298.41x = 141,168.83 × 56,976.41
  4. Step 4: Simplify right side
    102,298.41x = 8,043,293,205.34
  5. Step 5: Solve for x
    x = 8,043,293,205.34/102,298.41
  6. Step 6: Final answer
    x = 78,625.79

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