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Finding the Fourth Proportional to 105,951, 146,092.14 and 67,659.96

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Solution

The fourth proportional to 105,951, 146,092.14 and 67,659.96 is: 93,293.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,951 : 146,092.14 = 67,659.96 : x
  2. Step 2: Convert to fraction form
    105,951/146,092.14 = 67,659.96/x
  3. Step 3: Cross multiply
    105,951x = 146,092.14 × 67,659.96
  4. Step 4: Simplify right side
    105,951x = 9,884,588,348.71
  5. Step 5: Solve for x
    x = 9,884,588,348.71/105,951
  6. Step 6: Final answer
    x = 93,293.96

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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.