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Finding the Fourth Proportional to 200,736.61, 277,015.97 and 114,722.29

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Solution

The fourth proportional to 200,736.61, 277,015.97 and 114,722.29 is: 158,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,736.61 : 277,015.97 = 114,722.29 : x
  2. Step 2: Convert to fraction form
    200,736.61/277,015.97 = 114,722.29/x
  3. Step 3: Cross multiply
    200,736.61x = 277,015.97 × 114,722.29
  4. Step 4: Simplify right side
    200,736.61x = 31,779,904,486.28
  5. Step 5: Solve for x
    x = 31,779,904,486.28/200,736.61
  6. Step 6: Final answer
    x = 158,316.44

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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.