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Finding the Fourth Proportional to 102,117.53, 140,911.39 and 56,788.22

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Solution

The fourth proportional to 102,117.53, 140,911.39 and 56,788.22 is: 78,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,117.53 : 140,911.39 = 56,788.22 : x
  2. Step 2: Convert to fraction form
    102,117.53/140,911.39 = 56,788.22/x
  3. Step 3: Cross multiply
    102,117.53x = 140,911.39 × 56,788.22
  4. Step 4: Simplify right side
    102,117.53x = 8,002,107,015.83
  5. Step 5: Solve for x
    x = 8,002,107,015.83/102,117.53
  6. Step 6: Final answer
    x = 78,361.74

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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.