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Finding the Fourth Proportional to 203,633.96, 280,018.38 and 176,729.75

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Solution

The fourth proportional to 203,633.96, 280,018.38 and 176,729.75 is: 243,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,633.96 : 280,018.38 = 176,729.75 : x
  2. Step 2: Convert to fraction form
    203,633.96/280,018.38 = 176,729.75/x
  3. Step 3: Cross multiply
    203,633.96x = 280,018.38 × 176,729.75
  4. Step 4: Simplify right side
    203,633.96x = 49,487,578,292.81
  5. Step 5: Solve for x
    x = 49,487,578,292.81/203,633.96
  6. Step 6: Final answer
    x = 243,022.23

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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.