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Finding the Fourth Proportional to 214,787.34, 322,182.28 and 72,633.64

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Solution

The fourth proportional to 214,787.34, 322,182.28 and 72,633.64 is: 108,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,787.34 : 322,182.28 = 72,633.64 : x
  2. Step 2: Convert to fraction form
    214,787.34/322,182.28 = 72,633.64/x
  3. Step 3: Cross multiply
    214,787.34x = 322,182.28 × 72,633.64
  4. Step 4: Simplify right side
    214,787.34x = 23,401,271,739.90
  5. Step 5: Solve for x
    x = 23,401,271,739.90/214,787.34
  6. Step 6: Final answer
    x = 108,950.89

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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.