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Finding the Fourth Proportional to 200,893.82, 277,274.49 and 115,999.34

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Solution

The fourth proportional to 200,893.82, 277,274.49 and 115,999.34 is: 160,102.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,893.82 : 277,274.49 = 115,999.34 : x
  2. Step 2: Convert to fraction form
    200,893.82/277,274.49 = 115,999.34/x
  3. Step 3: Cross multiply
    200,893.82x = 277,274.49 × 115,999.34
  4. Step 4: Simplify right side
    200,893.82x = 32,163,657,838.84
  5. Step 5: Solve for x
    x = 32,163,657,838.84/200,893.82
  6. Step 6: Final answer
    x = 160,102.77

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1.5x scale

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.