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Finding the Fourth Proportional to 197,699.64, 296,424.86 and 167,724.34

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Solution

The fourth proportional to 197,699.64, 296,424.86 and 167,724.34 is: 251,480.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,699.64 : 296,424.86 = 167,724.34 : x
  2. Step 2: Convert to fraction form
    197,699.64/296,424.86 = 167,724.34/x
  3. Step 3: Cross multiply
    197,699.64x = 296,424.86 × 167,724.34
  4. Step 4: Simplify right side
    197,699.64x = 49,717,664,003.09
  5. Step 5: Solve for x
    x = 49,717,664,003.09/197,699.64
  6. Step 6: Final answer
    x = 251,480.80

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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.