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Finding the Fourth Proportional to 203,494.33, 280,822.98 and 112,858.71

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Solution

The fourth proportional to 203,494.33, 280,822.98 and 112,858.71 is: 155,745.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,494.33 : 280,822.98 = 112,858.71 : x
  2. Step 2: Convert to fraction form
    203,494.33/280,822.98 = 112,858.71/x
  3. Step 3: Cross multiply
    203,494.33x = 280,822.98 × 112,858.71
  4. Step 4: Simplify right side
    203,494.33x = 31,693,319,261.16
  5. Step 5: Solve for x
    x = 31,693,319,261.16/203,494.33
  6. Step 6: Final answer
    x = 155,745.47

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1.5x scale

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.