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Finding the Fourth Proportional to 105,833.68, 146,057.04 and 69,961.48

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Solution

The fourth proportional to 105,833.68, 146,057.04 and 69,961.48 is: 96,551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,833.68 : 146,057.04 = 69,961.48 : x
  2. Step 2: Convert to fraction form
    105,833.68/146,057.04 = 69,961.48/x
  3. Step 3: Cross multiply
    105,833.68x = 146,057.04 × 69,961.48
  4. Step 4: Simplify right side
    105,833.68x = 10,218,366,682.82
  5. Step 5: Solve for x
    x = 10,218,366,682.82/105,833.68
  6. Step 6: Final answer
    x = 96,551.18

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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.