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Finding the Fourth Proportional to 105,980.61, 159,105.81 and 68,696.70

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Solution

The fourth proportional to 105,980.61, 159,105.81 and 68,696.70 is: 103,132.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,980.61 : 159,105.81 = 68,696.70 : x
  2. Step 2: Convert to fraction form
    105,980.61/159,105.81 = 68,696.70/x
  3. Step 3: Cross multiply
    105,980.61x = 159,105.81 × 68,696.70
  4. Step 4: Simplify right side
    105,980.61x = 10,930,044,097.83
  5. Step 5: Solve for x
    x = 10,930,044,097.83/105,980.61
  6. Step 6: Final answer
    x = 103,132.49

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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.