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Finding the Fourth Proportional to 106,710.75, 160,052.85 and 66,733.29

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Solution

The fourth proportional to 106,710.75, 160,052.85 and 66,733.29 is: 100,091.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,710.75 : 160,052.85 = 66,733.29 : x
  2. Step 2: Convert to fraction form
    106,710.75/160,052.85 = 66,733.29/x
  3. Step 3: Cross multiply
    106,710.75x = 160,052.85 × 66,733.29
  4. Step 4: Simplify right side
    106,710.75x = 10,680,853,254.38
  5. Step 5: Solve for x
    x = 10,680,853,254.38/106,710.75
  6. Step 6: Final answer
    x = 100,091.63

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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.