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Finding the Fourth Proportional to 271,770.66, 407,262.24 and 153,189.63

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Solution

The fourth proportional to 271,770.66, 407,262.24 and 153,189.63 is: 229,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,770.66 : 407,262.24 = 153,189.63 : x
  2. Step 2: Convert to fraction form
    271,770.66/407,262.24 = 153,189.63/x
  3. Step 3: Cross multiply
    271,770.66x = 407,262.24 × 153,189.63
  4. Step 4: Simplify right side
    271,770.66x = 62,388,351,858.57
  5. Step 5: Solve for x
    x = 62,388,351,858.57/271,770.66
  6. Step 6: Final answer
    x = 229,562.50

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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.