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Finding the Fourth Proportional to 105,738.80, 145,843.04 and 89,798

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Solution

The fourth proportional to 105,738.80, 145,843.04 and 89,798 is: 123,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,738.80 : 145,843.04 = 89,798 : x
  2. Step 2: Convert to fraction form
    105,738.80/145,843.04 = 89,798/x
  3. Step 3: Cross multiply
    105,738.80x = 145,843.04 × 89,798
  4. Step 4: Simplify right side
    105,738.80x = 13,096,413,305.92
  5. Step 5: Solve for x
    x = 13,096,413,305.92/105,738.80
  6. Step 6: Final answer
    x = 123,856.27

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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.