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Finding the Fourth Proportional to 214,047.83, 320,968.20 and 79,020.39

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Solution

The fourth proportional to 214,047.83, 320,968.20 and 79,020.39 is: 118,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,047.83 : 320,968.20 = 79,020.39 : x
  2. Step 2: Convert to fraction form
    214,047.83/320,968.20 = 79,020.39/x
  3. Step 3: Cross multiply
    214,047.83x = 320,968.20 × 79,020.39
  4. Step 4: Simplify right side
    214,047.83x = 25,363,033,841.56
  5. Step 5: Solve for x
    x = 25,363,033,841.56/214,047.83
  6. Step 6: Final answer
    x = 118,492.36

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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.