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Finding the Fourth Proportional to 213,372.24, 294,449.36 and 117,878

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Solution

The fourth proportional to 213,372.24, 294,449.36 and 117,878 is: 162,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,372.24 : 294,449.36 = 117,878 : x
  2. Step 2: Convert to fraction form
    213,372.24/294,449.36 = 117,878/x
  3. Step 3: Cross multiply
    213,372.24x = 294,449.36 × 117,878
  4. Step 4: Simplify right side
    213,372.24x = 34,709,101,658.08
  5. Step 5: Solve for x
    x = 34,709,101,658.08/213,372.24
  6. Step 6: Final answer
    x = 162,669.25

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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.