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Finding the Fourth Proportional to 154,643.77, 231,571.88 and 101,893.33

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Solution

The fourth proportional to 154,643.77, 231,571.88 and 101,893.33 is: 152,580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,643.77 : 231,571.88 = 101,893.33 : x
  2. Step 2: Convert to fraction form
    154,643.77/231,571.88 = 101,893.33/x
  3. Step 3: Cross multiply
    154,643.77x = 231,571.88 × 101,893.33
  4. Step 4: Simplify right side
    154,643.77x = 23,595,629,987.56
  5. Step 5: Solve for x
    x = 23,595,629,987.56/154,643.77
  6. Step 6: Final answer
    x = 152,580.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.