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Finding the Fourth Proportional to 214,923.70, 322,385.55 and 165,099.70

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Solution

The fourth proportional to 214,923.70, 322,385.55 and 165,099.70 is: 247,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,923.70 : 322,385.55 = 165,099.70 : x
  2. Step 2: Convert to fraction form
    214,923.70/322,385.55 = 165,099.70/x
  3. Step 3: Cross multiply
    214,923.70x = 322,385.55 × 165,099.70
  4. Step 4: Simplify right side
    214,923.70x = 53,225,757,589.34
  5. Step 5: Solve for x
    x = 53,225,757,589.34/214,923.70
  6. Step 6: Final answer
    x = 247,649.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.