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Finding the Fourth Proportional to 214,096.48, 320,969.28 and 80,900.96

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Solution

The fourth proportional to 214,096.48, 320,969.28 and 80,900.96 is: 121,285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,096.48 : 320,969.28 = 80,900.96 : x
  2. Step 2: Convert to fraction form
    214,096.48/320,969.28 = 80,900.96/x
  3. Step 3: Cross multiply
    214,096.48x = 320,969.28 × 80,900.96
  4. Step 4: Simplify right side
    214,096.48x = 25,966,722,882.51
  5. Step 5: Solve for x
    x = 25,966,722,882.51/214,096.48
  6. Step 6: Final answer
    x = 121,285.15

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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.