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Finding the Fourth Proportional to 135,058.92, 202,715.50 and 68,546.78

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Solution

The fourth proportional to 135,058.92, 202,715.50 and 68,546.78 is: 102,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,058.92 : 202,715.50 = 68,546.78 : x
  2. Step 2: Convert to fraction form
    135,058.92/202,715.50 = 68,546.78/x
  3. Step 3: Cross multiply
    135,058.92x = 202,715.50 × 68,546.78
  4. Step 4: Simplify right side
    135,058.92x = 13,895,495,116.51
  5. Step 5: Solve for x
    x = 13,895,495,116.51/135,058.92
  6. Step 6: Final answer
    x = 102,884.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.