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Finding the Fourth Proportional to 200,741.92, 276,781.68 and 173,469.28

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Solution

The fourth proportional to 200,741.92, 276,781.68 and 173,469.28 is: 239,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,741.92 : 276,781.68 = 173,469.28 : x
  2. Step 2: Convert to fraction form
    200,741.92/276,781.68 = 173,469.28/x
  3. Step 3: Cross multiply
    200,741.92x = 276,781.68 × 173,469.28
  4. Step 4: Simplify right side
    200,741.92x = 48,013,118,746.79
  5. Step 5: Solve for x
    x = 48,013,118,746.79/200,741.92
  6. Step 6: Final answer
    x = 239,178.34

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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.