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Finding the Fourth Proportional to 203,476.14, 280,811.07 and 112,840.38

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Solution

The fourth proportional to 203,476.14, 280,811.07 and 112,840.38 is: 155,727.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,476.14 : 280,811.07 = 112,840.38 : x
  2. Step 2: Convert to fraction form
    203,476.14/280,811.07 = 112,840.38/x
  3. Step 3: Cross multiply
    203,476.14x = 280,811.07 × 112,840.38
  4. Step 4: Simplify right side
    203,476.14x = 31,686,827,847.01
  5. Step 5: Solve for x
    x = 31,686,827,847.01/203,476.14
  6. Step 6: Final answer
    x = 155,727.49

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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.