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Finding the Fourth Proportional to 214,142.88, 295,504.83 and 118,643.88

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Solution

The fourth proportional to 214,142.88, 295,504.83 and 118,643.88 is: 163,721.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,142.88 : 295,504.83 = 118,643.88 : x
  2. Step 2: Convert to fraction form
    214,142.88/295,504.83 = 118,643.88/x
  3. Step 3: Cross multiply
    214,142.88x = 295,504.83 × 118,643.88
  4. Step 4: Simplify right side
    214,142.88x = 35,059,839,589.94
  5. Step 5: Solve for x
    x = 35,059,839,589.94/214,142.88
  6. Step 6: Final answer
    x = 163,721.72

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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.