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Finding the Fourth Proportional to 107,290.96, 147,994.16 and 69,100

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Solution

The fourth proportional to 107,290.96, 147,994.16 and 69,100 is: 95,314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,290.96 : 147,994.16 = 69,100 : x
  2. Step 2: Convert to fraction form
    107,290.96/147,994.16 = 69,100/x
  3. Step 3: Cross multiply
    107,290.96x = 147,994.16 × 69,100
  4. Step 4: Simplify right side
    107,290.96x = 10,226,396,456
  5. Step 5: Solve for x
    x = 10,226,396,456/107,290.96
  6. Step 6: Final answer
    x = 95,314.61

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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.