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Finding the Fourth Proportional to 201,383.24, 277,902.98 and 110,739.11

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Solution

The fourth proportional to 201,383.24, 277,902.98 and 110,739.11 is: 152,816.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,383.24 : 277,902.98 = 110,739.11 : x
  2. Step 2: Convert to fraction form
    201,383.24/277,902.98 = 110,739.11/x
  3. Step 3: Cross multiply
    201,383.24x = 277,902.98 × 110,739.11
  4. Step 4: Simplify right side
    201,383.24x = 30,774,726,728.34
  5. Step 5: Solve for x
    x = 30,774,726,728.34/201,383.24
  6. Step 6: Final answer
    x = 152,816.73

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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.