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Finding the Fourth Proportional to 214,480.63, 321,712.86 and 64,716.93

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Solution

The fourth proportional to 214,480.63, 321,712.86 and 64,716.93 is: 97,072.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,480.63 : 321,712.86 = 64,716.93 : x
  2. Step 2: Convert to fraction form
    214,480.63/321,712.86 = 64,716.93/x
  3. Step 3: Cross multiply
    214,480.63x = 321,712.86 × 64,716.93
  4. Step 4: Simplify right side
    214,480.63x = 20,820,268,640.72
  5. Step 5: Solve for x
    x = 20,820,268,640.72/214,480.63
  6. Step 6: Final answer
    x = 97,072.96

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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.