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Finding the Fourth Proportional to 214,302.57, 321,520.77 and 129,006.81

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Solution

The fourth proportional to 214,302.57, 321,520.77 and 129,006.81 is: 193,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,302.57 : 321,520.77 = 129,006.81 : x
  2. Step 2: Convert to fraction form
    214,302.57/321,520.77 = 129,006.81/x
  3. Step 3: Cross multiply
    214,302.57x = 321,520.77 × 129,006.81
  4. Step 4: Simplify right side
    214,302.57x = 41,478,368,886.44
  5. Step 5: Solve for x
    x = 41,478,368,886.44/214,302.57
  6. Step 6: Final answer
    x = 193,550.50

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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.