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Finding the Fourth Proportional to 270,872.84, 406,087.49 and 102,297.47

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Solution

The fourth proportional to 270,872.84, 406,087.49 and 102,297.47 is: 153,362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,872.84 : 406,087.49 = 102,297.47 : x
  2. Step 2: Convert to fraction form
    270,872.84/406,087.49 = 102,297.47/x
  3. Step 3: Cross multiply
    270,872.84x = 406,087.49 × 102,297.47
  4. Step 4: Simplify right side
    270,872.84x = 41,541,721,050.96
  5. Step 5: Solve for x
    x = 41,541,721,050.96/270,872.84
  6. Step 6: Final answer
    x = 153,362.44

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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.