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Finding the Fourth Proportional to 267,914, 369,721.32 and 148,682

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Solution

The fourth proportional to 267,914, 369,721.32 and 148,682 is: 205,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,914 : 369,721.32 = 148,682 : x
  2. Step 2: Convert to fraction form
    267,914/369,721.32 = 148,682/x
  3. Step 3: Cross multiply
    267,914x = 369,721.32 × 148,682
  4. Step 4: Simplify right side
    267,914x = 54,970,905,300.24
  5. Step 5: Solve for x
    x = 54,970,905,300.24/267,914
  6. Step 6: Final answer
    x = 205,181.16

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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.