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Finding the Fourth Proportional to 199,796.48, 299,443.20 and 174,776.96

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Solution

The fourth proportional to 199,796.48, 299,443.20 and 174,776.96 is: 261,945.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,796.48 : 299,443.20 = 174,776.96 : x
  2. Step 2: Convert to fraction form
    199,796.48/299,443.20 = 174,776.96/x
  3. Step 3: Cross multiply
    199,796.48x = 299,443.20 × 174,776.96
  4. Step 4: Simplify right side
    199,796.48x = 52,335,772,188.67
  5. Step 5: Solve for x
    x = 52,335,772,188.67/199,796.48
  6. Step 6: Final answer
    x = 261,945.42

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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.