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Finding the Fourth Proportional to 102,638.67, 141,633.29 and 57,313.11

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Solution

The fourth proportional to 102,638.67, 141,633.29 and 57,313.11 is: 79,087.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,638.67 : 141,633.29 = 57,313.11 : x
  2. Step 2: Convert to fraction form
    102,638.67/141,633.29 = 57,313.11/x
  3. Step 3: Cross multiply
    102,638.67x = 141,633.29 × 57,313.11
  4. Step 4: Simplify right side
    102,638.67x = 8,117,444,042.87
  5. Step 5: Solve for x
    x = 8,117,444,042.87/102,638.67
  6. Step 6: Final answer
    x = 79,087.58

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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.