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Finding the Fourth Proportional to 213,277.79, 294,319.27 and 117,782.44

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Solution

The fourth proportional to 213,277.79, 294,319.27 and 117,782.44 is: 162,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,277.79 : 294,319.27 = 117,782.44 : x
  2. Step 2: Convert to fraction form
    213,277.79/294,319.27 = 117,782.44/x
  3. Step 3: Cross multiply
    213,277.79x = 294,319.27 × 117,782.44
  4. Step 4: Simplify right side
    213,277.79x = 34,665,641,171.05
  5. Step 5: Solve for x
    x = 34,665,641,171.05/213,277.79
  6. Step 6: Final answer
    x = 162,537.51

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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.