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Finding the Fourth Proportional to 214,285.14, 320,481.63 and 129,811.86

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Solution

The fourth proportional to 214,285.14, 320,481.63 and 129,811.86 is: 194,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,285.14 : 320,481.63 = 129,811.86 : x
  2. Step 2: Convert to fraction form
    214,285.14/320,481.63 = 129,811.86/x
  3. Step 3: Cross multiply
    214,285.14x = 320,481.63 × 129,811.86
  4. Step 4: Simplify right side
    214,285.14x = 41,602,316,486.13
  5. Step 5: Solve for x
    x = 41,602,316,486.13/214,285.14
  6. Step 6: Final answer
    x = 194,144.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.