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Finding the Fourth Proportional to 255,584.94, 352,692.81 and 140,863.22

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Solution

The fourth proportional to 255,584.94, 352,692.81 and 140,863.22 is: 194,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,584.94 : 352,692.81 = 140,863.22 : x
  2. Step 2: Convert to fraction form
    255,584.94/352,692.81 = 140,863.22/x
  3. Step 3: Cross multiply
    255,584.94x = 352,692.81 × 140,863.22
  4. Step 4: Simplify right side
    255,584.94x = 49,681,444,887.45
  5. Step 5: Solve for x
    x = 49,681,444,887.45/255,584.94
  6. Step 6: Final answer
    x = 194,383.30

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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.