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Finding the Fourth Proportional to 107,050.68, 160,822.13 and 75,533.31

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Solution

The fourth proportional to 107,050.68, 160,822.13 and 75,533.31 is: 113,473.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,050.68 : 160,822.13 = 75,533.31 : x
  2. Step 2: Convert to fraction form
    107,050.68/160,822.13 = 75,533.31/x
  3. Step 3: Cross multiply
    107,050.68x = 160,822.13 × 75,533.31
  4. Step 4: Simplify right side
    107,050.68x = 12,147,427,422.48
  5. Step 5: Solve for x
    x = 12,147,427,422.48/107,050.68
  6. Step 6: Final answer
    x = 113,473.61

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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.