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Finding the Fourth Proportional to 110,297, 165,235.74 and 62,945

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Solution

The fourth proportional to 110,297, 165,235.74 and 62,945 is: 94,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,297 : 165,235.74 = 62,945 : x
  2. Step 2: Convert to fraction form
    110,297/165,235.74 = 62,945/x
  3. Step 3: Cross multiply
    110,297x = 165,235.74 × 62,945
  4. Step 4: Simplify right side
    110,297x = 10,400,763,654.30
  5. Step 5: Solve for x
    x = 10,400,763,654.30/110,297
  6. Step 6: Final answer
    x = 94,297.79

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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.