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Finding the Fourth Proportional to 213,867.30, 295,143.84 and 123,216.15

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Solution

The fourth proportional to 213,867.30, 295,143.84 and 123,216.15 is: 170,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,867.30 : 295,143.84 = 123,216.15 : x
  2. Step 2: Convert to fraction form
    213,867.30/295,143.84 = 123,216.15/x
  3. Step 3: Cross multiply
    213,867.30x = 295,143.84 × 123,216.15
  4. Step 4: Simplify right side
    213,867.30x = 36,366,487,661.02
  5. Step 5: Solve for x
    x = 36,366,487,661.02/213,867.30
  6. Step 6: Final answer
    x = 170,042.30

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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.