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Finding the Fourth Proportional to 200,718.56, 277,003.86 and 115,841.09

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Solution

The fourth proportional to 200,718.56, 277,003.86 and 115,841.09 is: 159,867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,718.56 : 277,003.86 = 115,841.09 : x
  2. Step 2: Convert to fraction form
    200,718.56/277,003.86 = 115,841.09/x
  3. Step 3: Cross multiply
    200,718.56x = 277,003.86 × 115,841.09
  4. Step 4: Simplify right side
    200,718.56x = 32,088,429,076.61
  5. Step 5: Solve for x
    x = 32,088,429,076.61/200,718.56
  6. Step 6: Final answer
    x = 159,867.77

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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.