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Finding the Fourth Proportional to 214,408.78, 295,879.71 and 118,900.06

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Solution

The fourth proportional to 214,408.78, 295,879.71 and 118,900.06 is: 164,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,408.78 : 295,879.71 = 118,900.06 : x
  2. Step 2: Convert to fraction form
    214,408.78/295,879.71 = 118,900.06/x
  3. Step 3: Cross multiply
    214,408.78x = 295,879.71 × 118,900.06
  4. Step 4: Simplify right side
    214,408.78x = 35,180,115,271.78
  5. Step 5: Solve for x
    x = 35,180,115,271.78/214,408.78
  6. Step 6: Final answer
    x = 164,079.64

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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.