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Finding the Fourth Proportional to 214,853.85, 322,297.20 and 65,106.54

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Solution

The fourth proportional to 214,853.85, 322,297.20 and 65,106.54 is: 97,664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,853.85 : 322,297.20 = 65,106.54 : x
  2. Step 2: Convert to fraction form
    214,853.85/322,297.20 = 65,106.54/x
  3. Step 3: Cross multiply
    214,853.85x = 322,297.20 × 65,106.54
  4. Step 4: Simplify right side
    214,853.85x = 20,983,655,543.69
  5. Step 5: Solve for x
    x = 20,983,655,543.69/214,853.85
  6. Step 6: Final answer
    x = 97,664.79

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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.