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Finding the Fourth Proportional to 270,204.36, 405,244.85 and 101,742.45

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Solution

The fourth proportional to 270,204.36, 405,244.85 and 101,742.45 is: 152,590.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,204.36 : 405,244.85 = 101,742.45 : x
  2. Step 2: Convert to fraction form
    270,204.36/405,244.85 = 101,742.45/x
  3. Step 3: Cross multiply
    270,204.36x = 405,244.85 × 101,742.45
  4. Step 4: Simplify right side
    270,204.36x = 41,230,603,380.17
  5. Step 5: Solve for x
    x = 41,230,603,380.17/270,204.36
  6. Step 6: Final answer
    x = 152,590.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.