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Finding the Fourth Proportional to 214,480.13, 321,712.11 and 64,716.43

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Solution

The fourth proportional to 214,480.13, 321,712.11 and 64,716.43 is: 97,072.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,480.13 : 321,712.11 = 64,716.43 : x
  2. Step 2: Convert to fraction form
    214,480.13/321,712.11 = 64,716.43/x
  3. Step 3: Cross multiply
    214,480.13x = 321,712.11 × 64,716.43
  4. Step 4: Simplify right side
    214,480.13x = 20,820,058,442.69
  5. Step 5: Solve for x
    x = 20,820,058,442.69/214,480.13
  6. Step 6: Final answer
    x = 97,072.20

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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.