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Finding the Fourth Proportional to 214,480.52, 321,712.67 and 64,716.81

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Solution

The fourth proportional to 214,480.52, 321,712.67 and 64,716.81 is: 97,072.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,480.52 : 321,712.67 = 64,716.81 : x
  2. Step 2: Convert to fraction form
    214,480.52/321,712.67 = 64,716.81/x
  3. Step 3: Cross multiply
    214,480.52x = 321,712.67 × 64,716.81
  4. Step 4: Simplify right side
    214,480.52x = 20,820,217,415.40
  5. Step 5: Solve for x
    x = 20,820,217,415.40/214,480.52
  6. Step 6: Final answer
    x = 97,072.77

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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.