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Finding the Fourth Proportional to 298,001.96, 446,816.06 and 110,859.56

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Solution

The fourth proportional to 298,001.96, 446,816.06 and 110,859.56 is: 166,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,001.96 : 446,816.06 = 110,859.56 : x
  2. Step 2: Convert to fraction form
    298,001.96/446,816.06 = 110,859.56/x
  3. Step 3: Cross multiply
    298,001.96x = 446,816.06 × 110,859.56
  4. Step 4: Simplify right side
    298,001.96x = 49,533,831,812.53
  5. Step 5: Solve for x
    x = 49,533,831,812.53/298,001.96
  6. Step 6: Final answer
    x = 166,219.82

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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.