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Finding the Fourth Proportional to 203,469.94, 280,762.50 and 112,825.27

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Solution

The fourth proportional to 203,469.94, 280,762.50 and 112,825.27 is: 155,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,469.94 : 280,762.50 = 112,825.27 : x
  2. Step 2: Convert to fraction form
    203,469.94/280,762.50 = 112,825.27/x
  3. Step 3: Cross multiply
    203,469.94x = 280,762.50 × 112,825.27
  4. Step 4: Simplify right side
    203,469.94x = 31,677,104,868.38
  5. Step 5: Solve for x
    x = 31,677,104,868.38/203,469.94
  6. Step 6: Final answer
    x = 155,684.45

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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.