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Finding the Fourth Proportional to 225,164.32, 310,768.50 and 144,692.44

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Solution

The fourth proportional to 225,164.32, 310,768.50 and 144,692.44 is: 199,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,164.32 : 310,768.50 = 144,692.44 : x
  2. Step 2: Convert to fraction form
    225,164.32/310,768.50 = 144,692.44/x
  3. Step 3: Cross multiply
    225,164.32x = 310,768.50 × 144,692.44
  4. Step 4: Simplify right side
    225,164.32x = 44,965,852,540.14
  5. Step 5: Solve for x
    x = 44,965,852,540.14/225,164.32
  6. Step 6: Final answer
    x = 199,702.39

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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.