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Finding the Fourth Proportional to 213,290.61, 294,338.57 and 116,493.99

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Solution

The fourth proportional to 213,290.61, 294,338.57 and 116,493.99 is: 160,760.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,290.61 : 294,338.57 = 116,493.99 : x
  2. Step 2: Convert to fraction form
    213,290.61/294,338.57 = 116,493.99/x
  3. Step 3: Cross multiply
    213,290.61x = 294,338.57 × 116,493.99
  4. Step 4: Simplify right side
    213,290.61x = 34,288,673,249.74
  5. Step 5: Solve for x
    x = 34,288,673,249.74/213,290.61
  6. Step 6: Final answer
    x = 160,760.35

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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.