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Finding the Fourth Proportional to 213,963.26, 295,279.44 and 129,078.50

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Solution

The fourth proportional to 213,963.26, 295,279.44 and 129,078.50 is: 178,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,963.26 : 295,279.44 = 129,078.50 : x
  2. Step 2: Convert to fraction form
    213,963.26/295,279.44 = 129,078.50/x
  3. Step 3: Cross multiply
    213,963.26x = 295,279.44 × 129,078.50
  4. Step 4: Simplify right side
    213,963.26x = 38,114,227,196.04
  5. Step 5: Solve for x
    x = 38,114,227,196.04/213,963.26
  6. Step 6: Final answer
    x = 178,134.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.