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Finding the Fourth Proportional to 214,089, 321,625.74 and 151,054.38

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Solution

The fourth proportional to 214,089, 321,625.74 and 151,054.38 is: 226,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,089 : 321,625.74 = 151,054.38 : x
  2. Step 2: Convert to fraction form
    214,089/321,625.74 = 151,054.38/x
  3. Step 3: Cross multiply
    214,089x = 321,625.74 × 151,054.38
  4. Step 4: Simplify right side
    214,089x = 48,582,976,747.74
  5. Step 5: Solve for x
    x = 48,582,976,747.74/214,089
  6. Step 6: Final answer
    x = 226,928.88

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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.