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Finding the Fourth Proportional to 214,429.76, 295,911.12 and 118,936.64

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Solution

The fourth proportional to 214,429.76, 295,911.12 and 118,936.64 is: 164,131.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,429.76 : 295,911.12 = 118,936.64 : x
  2. Step 2: Convert to fraction form
    214,429.76/295,911.12 = 118,936.64/x
  3. Step 3: Cross multiply
    214,429.76x = 295,911.12 × 118,936.64
  4. Step 4: Simplify right side
    214,429.76x = 35,194,674,351.44
  5. Step 5: Solve for x
    x = 35,194,674,351.44/214,429.76
  6. Step 6: Final answer
    x = 164,131.48

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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.