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Finding the Fourth Proportional to 102,896.32, 141,916.80 and 68,894

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Solution

The fourth proportional to 102,896.32, 141,916.80 and 68,894 is: 95,020.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,896.32 : 141,916.80 = 68,894 : x
  2. Step 2: Convert to fraction form
    102,896.32/141,916.80 = 68,894/x
  3. Step 3: Cross multiply
    102,896.32x = 141,916.80 × 68,894
  4. Step 4: Simplify right side
    102,896.32x = 9,777,216,019.20
  5. Step 5: Solve for x
    x = 9,777,216,019.20/102,896.32
  6. Step 6: Final answer
    x = 95,020.07

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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.