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Finding the Fourth Proportional to 105,840.66, 146,071.68 and 67,635.38

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Solution

The fourth proportional to 105,840.66, 146,071.68 and 67,635.38 is: 93,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,840.66 : 146,071.68 = 67,635.38 : x
  2. Step 2: Convert to fraction form
    105,840.66/146,071.68 = 67,635.38/x
  3. Step 3: Cross multiply
    105,840.66x = 146,071.68 × 67,635.38
  4. Step 4: Simplify right side
    105,840.66x = 9,879,613,584.04
  5. Step 5: Solve for x
    x = 9,879,613,584.04/105,840.66
  6. Step 6: Final answer
    x = 93,344.22

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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.