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Finding the Fourth Proportional to 105,719.14, 145,968.93 and 68,059

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Solution

The fourth proportional to 105,719.14, 145,968.93 and 68,059 is: 93,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,719.14 : 145,968.93 = 68,059 : x
  2. Step 2: Convert to fraction form
    105,719.14/145,968.93 = 68,059/x
  3. Step 3: Cross multiply
    105,719.14x = 145,968.93 × 68,059
  4. Step 4: Simplify right side
    105,719.14x = 9,934,499,406.87
  5. Step 5: Solve for x
    x = 9,934,499,406.87/105,719.14
  6. Step 6: Final answer
    x = 93,970.68

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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.