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Finding the Fourth Proportional to 149,820.04, 206,747.70 and 82,750.60

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Solution

The fourth proportional to 149,820.04, 206,747.70 and 82,750.60 is: 114,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,820.04 : 206,747.70 = 82,750.60 : x
  2. Step 2: Convert to fraction form
    149,820.04/206,747.70 = 82,750.60/x
  3. Step 3: Cross multiply
    149,820.04x = 206,747.70 × 82,750.60
  4. Step 4: Simplify right side
    149,820.04x = 17,108,496,223.62
  5. Step 5: Solve for x
    x = 17,108,496,223.62/149,820.04
  6. Step 6: Final answer
    x = 114,193.64

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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.