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Finding the Fourth Proportional to 102,471.51, 141,410.39 and 57,149.55

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Solution

The fourth proportional to 102,471.51, 141,410.39 and 57,149.55 is: 78,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,471.51 : 141,410.39 = 57,149.55 : x
  2. Step 2: Convert to fraction form
    102,471.51/141,410.39 = 57,149.55/x
  3. Step 3: Cross multiply
    102,471.51x = 141,410.39 × 57,149.55
  4. Step 4: Simplify right side
    102,471.51x = 8,081,539,868.08
  5. Step 5: Solve for x
    x = 8,081,539,868.08/102,471.51
  6. Step 6: Final answer
    x = 78,866.21

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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.