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Finding the Fourth Proportional to 270,770.72, 405,868.08 and 102,219.44

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Solution

The fourth proportional to 270,770.72, 405,868.08 and 102,219.44 is: 153,220.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,770.72 : 405,868.08 = 102,219.44 : x
  2. Step 2: Convert to fraction form
    270,770.72/405,868.08 = 102,219.44/x
  3. Step 3: Cross multiply
    270,770.72x = 405,868.08 × 102,219.44
  4. Step 4: Simplify right side
    270,770.72x = 41,487,607,851.48
  5. Step 5: Solve for x
    x = 41,487,607,851.48/270,770.72
  6. Step 6: Final answer
    x = 153,220.44

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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.