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Finding the Fourth Proportional to 106,425.94, 159,531.12 and 69,009.75

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Solution

The fourth proportional to 106,425.94, 159,531.12 and 69,009.75 is: 103,444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,425.94 : 159,531.12 = 69,009.75 : x
  2. Step 2: Convert to fraction form
    106,425.94/159,531.12 = 69,009.75/x
  3. Step 3: Cross multiply
    106,425.94x = 159,531.12 × 69,009.75
  4. Step 4: Simplify right side
    106,425.94x = 11,009,202,708.42
  5. Step 5: Solve for x
    x = 11,009,202,708.42/106,425.94
  6. Step 6: Final answer
    x = 103,444.73

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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.