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Finding the Fourth Proportional to 201,444, 277,998.84 and 110,795.28

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Solution

The fourth proportional to 201,444, 277,998.84 and 110,795.28 is: 152,900.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,444 : 277,998.84 = 110,795.28 : x
  2. Step 2: Convert to fraction form
    201,444/277,998.84 = 110,795.28/x
  3. Step 3: Cross multiply
    201,444x = 277,998.84 × 110,795.28
  4. Step 4: Simplify right side
    201,444x = 30,800,959,317.48
  5. Step 5: Solve for x
    x = 30,800,959,317.48/201,444
  6. Step 6: Final answer
    x = 152,900.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.