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Finding the Fourth Proportional to 242,213.80, 363,450.30 and 101,986.60

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Solution

The fourth proportional to 242,213.80, 363,450.30 and 101,986.60 is: 153,034.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,213.80 : 363,450.30 = 101,986.60 : x
  2. Step 2: Convert to fraction form
    242,213.80/363,450.30 = 101,986.60/x
  3. Step 3: Cross multiply
    242,213.80x = 363,450.30 × 101,986.60
  4. Step 4: Simplify right side
    242,213.80x = 37,067,060,365.98
  5. Step 5: Solve for x
    x = 37,067,060,365.98/242,213.80
  6. Step 6: Final answer
    x = 153,034.47

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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.