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Finding the Fourth Proportional to 200,730.86, 276,982.97 and 114,695.42

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Solution

The fourth proportional to 200,730.86, 276,982.97 and 114,695.42 is: 158,265.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,730.86 : 276,982.97 = 114,695.42 : x
  2. Step 2: Convert to fraction form
    200,730.86/276,982.97 = 114,695.42/x
  3. Step 3: Cross multiply
    200,730.86x = 276,982.97 × 114,695.42
  4. Step 4: Simplify right side
    200,730.86x = 31,768,676,118.61
  5. Step 5: Solve for x
    x = 31,768,676,118.61/200,730.86
  6. Step 6: Final answer
    x = 158,265.03

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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.