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Finding the Fourth Proportional to 203,522.94, 305,222.22 and 140,746.50

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Solution

The fourth proportional to 203,522.94, 305,222.22 and 140,746.50 is: 211,076.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,522.94 : 305,222.22 = 140,746.50 : x
  2. Step 2: Convert to fraction form
    203,522.94/305,222.22 = 140,746.50/x
  3. Step 3: Cross multiply
    203,522.94x = 305,222.22 × 140,746.50
  4. Step 4: Simplify right side
    203,522.94x = 42,958,959,187.23
  5. Step 5: Solve for x
    x = 42,958,959,187.23/203,522.94
  6. Step 6: Final answer
    x = 211,076.74

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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.