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Finding the Fourth Proportional to 214,105.44, 295,468.04 and 118,614

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Solution

The fourth proportional to 214,105.44, 295,468.04 and 118,614 is: 163,688.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,105.44 : 295,468.04 = 118,614 : x
  2. Step 2: Convert to fraction form
    214,105.44/295,468.04 = 118,614/x
  3. Step 3: Cross multiply
    214,105.44x = 295,468.04 × 118,614
  4. Step 4: Simplify right side
    214,105.44x = 35,046,646,096.56
  5. Step 5: Solve for x
    x = 35,046,646,096.56/214,105.44
  6. Step 6: Final answer
    x = 163,688.72

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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.