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Finding the Fourth Proportional to 102,505.71, 141,464.43 and 57,190.53

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Solution

The fourth proportional to 102,505.71, 141,464.43 and 57,190.53 is: 78,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,505.71 : 141,464.43 = 57,190.53 : x
  2. Step 2: Convert to fraction form
    102,505.71/141,464.43 = 57,190.53/x
  3. Step 3: Cross multiply
    102,505.71x = 141,464.43 × 57,190.53
  4. Step 4: Simplify right side
    102,505.71x = 8,090,425,727.85
  5. Step 5: Solve for x
    x = 8,090,425,727.85/102,505.71
  6. Step 6: Final answer
    x = 78,926.59

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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.