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Finding the Fourth Proportional to 102,727.56, 141,764.16 and 57,407.46

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Solution

The fourth proportional to 102,727.56, 141,764.16 and 57,407.46 is: 79,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,727.56 : 141,764.16 = 57,407.46 : x
  2. Step 2: Convert to fraction form
    102,727.56/141,764.16 = 57,407.46/x
  3. Step 3: Cross multiply
    102,727.56x = 141,764.16 × 57,407.46
  4. Step 4: Simplify right side
    102,727.56x = 8,138,320,344.63
  5. Step 5: Solve for x
    x = 8,138,320,344.63/102,727.56
  6. Step 6: Final answer
    x = 79,222.37

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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.