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Finding the Fourth Proportional to 213,144.51, 294,137.82 and 117,651.18

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Solution

The fourth proportional to 213,144.51, 294,137.82 and 117,651.18 is: 162,357.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,144.51 : 294,137.82 = 117,651.18 : x
  2. Step 2: Convert to fraction form
    213,144.51/294,137.82 = 117,651.18/x
  3. Step 3: Cross multiply
    213,144.51x = 294,137.82 × 117,651.18
  4. Step 4: Simplify right side
    213,144.51x = 34,605,661,605.63
  5. Step 5: Solve for x
    x = 34,605,661,605.63/213,144.51
  6. Step 6: Final answer
    x = 162,357.74

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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.