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Finding the Fourth Proportional to 214,716.70, 322,403.10 and 164,853.10

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Solution

The fourth proportional to 214,716.70, 322,403.10 and 164,853.10 is: 247,531.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,716.70 : 322,403.10 = 164,853.10 : x
  2. Step 2: Convert to fraction form
    214,716.70/322,403.10 = 164,853.10/x
  3. Step 3: Cross multiply
    214,716.70x = 322,403.10 × 164,853.10
  4. Step 4: Simplify right side
    214,716.70x = 53,149,150,484.61
  5. Step 5: Solve for x
    x = 53,149,150,484.61/214,716.70
  6. Step 6: Final answer
    x = 247,531.52

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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.