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Finding the Fourth Proportional to 214,907.72, 322,245.74 and 164,864.30

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Solution

The fourth proportional to 214,907.72, 322,245.74 and 164,864.30 is: 247,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,907.72 : 322,245.74 = 164,864.30 : x
  2. Step 2: Convert to fraction form
    214,907.72/322,245.74 = 164,864.30/x
  3. Step 3: Cross multiply
    214,907.72x = 322,245.74 × 164,864.30
  4. Step 4: Simplify right side
    214,907.72x = 53,126,817,154.01
  5. Step 5: Solve for x
    x = 53,126,817,154.01/214,907.72
  6. Step 6: Final answer
    x = 247,207.58

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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.