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Finding the Fourth Proportional to 200,736.56, 277,016.46 and 111,312.56

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Solution

The fourth proportional to 200,736.56, 277,016.46 and 111,312.56 is: 153,611.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,736.56 : 277,016.46 = 111,312.56 : x
  2. Step 2: Convert to fraction form
    200,736.56/277,016.46 = 111,312.56/x
  3. Step 3: Cross multiply
    200,736.56x = 277,016.46 × 111,312.56
  4. Step 4: Simplify right side
    200,736.56x = 30,835,411,599.86
  5. Step 5: Solve for x
    x = 30,835,411,599.86/200,736.56
  6. Step 6: Final answer
    x = 153,611.34

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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.