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Finding the Fourth Proportional to 102,708.32, 141,736.50 and 57,394.11

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Solution

The fourth proportional to 102,708.32, 141,736.50 and 57,394.11 is: 79,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,708.32 : 141,736.50 = 57,394.11 : x
  2. Step 2: Convert to fraction form
    102,708.32/141,736.50 = 57,394.11/x
  3. Step 3: Cross multiply
    102,708.32x = 141,736.50 × 57,394.11
  4. Step 4: Simplify right side
    102,708.32x = 8,134,840,272.02
  5. Step 5: Solve for x
    x = 8,134,840,272.02/102,708.32
  6. Step 6: Final answer
    x = 79,203.33

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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.