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Finding the Fourth Proportional to 201,714.36, 278,363.52 and 111,068.44

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Solution

The fourth proportional to 201,714.36, 278,363.52 and 111,068.44 is: 153,273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,714.36 : 278,363.52 = 111,068.44 : x
  2. Step 2: Convert to fraction form
    201,714.36/278,363.52 = 111,068.44/x
  3. Step 3: Cross multiply
    201,714.36x = 278,363.52 × 111,068.44
  4. Step 4: Simplify right side
    201,714.36x = 30,917,401,919.31
  5. Step 5: Solve for x
    x = 30,917,401,919.31/201,714.36
  6. Step 6: Final answer
    x = 153,273.18

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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.