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Finding the Fourth Proportional to 214,356.96, 295,824.33 and 118,861.56

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Solution

The fourth proportional to 214,356.96, 295,824.33 and 118,861.56 is: 164,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,356.96 : 295,824.33 = 118,861.56 : x
  2. Step 2: Convert to fraction form
    214,356.96/295,824.33 = 118,861.56/x
  3. Step 3: Cross multiply
    214,356.96x = 295,824.33 × 118,861.56
  4. Step 4: Simplify right side
    214,356.96x = 35,162,141,349.75
  5. Step 5: Solve for x
    x = 35,162,141,349.75/214,356.96
  6. Step 6: Final answer
    x = 164,035.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.