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Finding the Fourth Proportional to 107,705.38, 148,636.84 and 67,406.26

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Solution

The fourth proportional to 107,705.38, 148,636.84 and 67,406.26 is: 93,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,705.38 : 148,636.84 = 67,406.26 : x
  2. Step 2: Convert to fraction form
    107,705.38/148,636.84 = 67,406.26/x
  3. Step 3: Cross multiply
    107,705.38x = 148,636.84 × 67,406.26
  4. Step 4: Simplify right side
    107,705.38x = 10,019,052,739.43
  5. Step 5: Solve for x
    x = 10,019,052,739.43/107,705.38
  6. Step 6: Final answer
    x = 93,022.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.