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Finding the Fourth Proportional to 107,186.58, 160,774.97 and 43,991.10

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Solution

The fourth proportional to 107,186.58, 160,774.97 and 43,991.10 is: 65,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,186.58 : 160,774.97 = 43,991.10 : x
  2. Step 2: Convert to fraction form
    107,186.58/160,774.97 = 43,991.10/x
  3. Step 3: Cross multiply
    107,186.58x = 160,774.97 × 43,991.10
  4. Step 4: Simplify right side
    107,186.58x = 7,072,667,562.81
  5. Step 5: Solve for x
    x = 7,072,667,562.81/107,186.58
  6. Step 6: Final answer
    x = 65,984.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.