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Finding the Fourth Proportional to 213,963.53, 295,274.31 and 117,171.50

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Solution

The fourth proportional to 213,963.53, 295,274.31 and 117,171.50 is: 161,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,963.53 : 295,274.31 = 117,171.50 : x
  2. Step 2: Convert to fraction form
    213,963.53/295,274.31 = 117,171.50/x
  3. Step 3: Cross multiply
    213,963.53x = 295,274.31 × 117,171.50
  4. Step 4: Simplify right side
    213,963.53x = 34,597,733,814.17
  5. Step 5: Solve for x
    x = 34,597,733,814.17/213,963.53
  6. Step 6: Final answer
    x = 161,699.21

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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.