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Finding the Fourth Proportional to 102,705.29, 141,720.44 and 57,381.54

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Solution

The fourth proportional to 102,705.29, 141,720.44 and 57,381.54 is: 79,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,705.29 : 141,720.44 = 57,381.54 : x
  2. Step 2: Convert to fraction form
    102,705.29/141,720.44 = 57,381.54/x
  3. Step 3: Cross multiply
    102,705.29x = 141,720.44 × 57,381.54
  4. Step 4: Simplify right side
    102,705.29x = 8,132,137,096.68
  5. Step 5: Solve for x
    x = 8,132,137,096.68/102,705.29
  6. Step 6: Final answer
    x = 79,179.34

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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.