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Finding the Fourth Proportional to 200,776.68, 277,040.34 and 115,877.88

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Solution

The fourth proportional to 200,776.68, 277,040.34 and 115,877.88 is: 159,893.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,776.68 : 277,040.34 = 115,877.88 : x
  2. Step 2: Convert to fraction form
    200,776.68/277,040.34 = 115,877.88/x
  3. Step 3: Cross multiply
    200,776.68x = 277,040.34 × 115,877.88
  4. Step 4: Simplify right side
    200,776.68x = 32,102,847,273.68
  5. Step 5: Solve for x
    x = 32,102,847,273.68/200,776.68
  6. Step 6: Final answer
    x = 159,893.31

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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.