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Finding the Fourth Proportional to 200,731.32, 277,021.48 and 115,853.84

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Solution

The fourth proportional to 200,731.32, 277,021.48 and 115,853.84 is: 159,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,731.32 : 277,021.48 = 115,853.84 : x
  2. Step 2: Convert to fraction form
    200,731.32/277,021.48 = 115,853.84/x
  3. Step 3: Cross multiply
    200,731.32x = 277,021.48 × 115,853.84
  4. Step 4: Simplify right side
    200,731.32x = 32,094,002,220.48
  5. Step 5: Solve for x
    x = 32,094,002,220.48/200,731.32
  6. Step 6: Final answer
    x = 159,885.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.