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Finding the Fourth Proportional to 203,112.94, 280,292.43 and 112,466.96

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Solution

The fourth proportional to 203,112.94, 280,292.43 and 112,466.96 is: 155,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,112.94 : 280,292.43 = 112,466.96 : x
  2. Step 2: Convert to fraction form
    203,112.94/280,292.43 = 112,466.96/x
  3. Step 3: Cross multiply
    203,112.94x = 280,292.43 × 112,466.96
  4. Step 4: Simplify right side
    203,112.94x = 31,523,635,549.32
  5. Step 5: Solve for x
    x = 31,523,635,549.32/203,112.94
  6. Step 6: Final answer
    x = 155,202.50

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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.