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Finding the Fourth Proportional to 102,493.50, 141,441.06 and 57,781.50

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Solution

The fourth proportional to 102,493.50, 141,441.06 and 57,781.50 is: 79,738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,493.50 : 141,441.06 = 57,781.50 : x
  2. Step 2: Convert to fraction form
    102,493.50/141,441.06 = 57,781.50/x
  3. Step 3: Cross multiply
    102,493.50x = 141,441.06 × 57,781.50
  4. Step 4: Simplify right side
    102,493.50x = 8,172,676,608.39
  5. Step 5: Solve for x
    x = 8,172,676,608.39/102,493.50
  6. Step 6: Final answer
    x = 79,738.49

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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.