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Finding the Fourth Proportional to 200,706.86, 276,967.15 and 120,086.75

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Solution

The fourth proportional to 200,706.86, 276,967.15 and 120,086.75 is: 165,714.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,706.86 : 276,967.15 = 120,086.75 : x
  2. Step 2: Convert to fraction form
    200,706.86/276,967.15 = 120,086.75/x
  3. Step 3: Cross multiply
    200,706.86x = 276,967.15 × 120,086.75
  4. Step 4: Simplify right side
    200,706.86x = 33,260,085,292.46
  5. Step 5: Solve for x
    x = 33,260,085,292.46/200,706.86
  6. Step 6: Final answer
    x = 165,714.74

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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.