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Finding the Fourth Proportional to 201,777.93, 278,450.11 and 111,142.37

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Solution

The fourth proportional to 201,777.93, 278,450.11 and 111,142.37 is: 153,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,777.93 : 278,450.11 = 111,142.37 : x
  2. Step 2: Convert to fraction form
    201,777.93/278,450.11 = 111,142.37/x
  3. Step 3: Cross multiply
    201,777.93x = 278,450.11 × 111,142.37
  4. Step 4: Simplify right side
    201,777.93x = 30,947,605,152.16
  5. Step 5: Solve for x
    x = 30,947,605,152.16/201,777.93
  6. Step 6: Final answer
    x = 153,374.58

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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.