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Finding the Fourth Proportional to 214,738.16, 322,042.44 and 90,051.44

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Solution

The fourth proportional to 214,738.16, 322,042.44 and 90,051.44 is: 135,049.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,738.16 : 322,042.44 = 90,051.44 : x
  2. Step 2: Convert to fraction form
    214,738.16/322,042.44 = 90,051.44/x
  3. Step 3: Cross multiply
    214,738.16x = 322,042.44 × 90,051.44
  4. Step 4: Simplify right side
    214,738.16x = 29,000,385,463.11
  5. Step 5: Solve for x
    x = 29,000,385,463.11/214,738.16
  6. Step 6: Final answer
    x = 135,049.99

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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.