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Finding the Fourth Proportional to 200,858.88, 277,188.48 and 115,983.36

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Solution

The fourth proportional to 200,858.88, 277,188.48 and 115,983.36 is: 160,058.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,858.88 : 277,188.48 = 115,983.36 : x
  2. Step 2: Convert to fraction form
    200,858.88/277,188.48 = 115,983.36/x
  3. Step 3: Cross multiply
    200,858.88x = 277,188.48 × 115,983.36
  4. Step 4: Simplify right side
    200,858.88x = 32,149,251,263.69
  5. Step 5: Solve for x
    x = 32,149,251,263.69/200,858.88
  6. Step 6: Final answer
    x = 160,058.90

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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.