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Finding the Fourth Proportional to 213,038.20, 293,992.49 and 117,544.88

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Solution

The fourth proportional to 213,038.20, 293,992.49 and 117,544.88 is: 162,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,038.20 : 293,992.49 = 117,544.88 : x
  2. Step 2: Convert to fraction form
    213,038.20/293,992.49 = 117,544.88/x
  3. Step 3: Cross multiply
    213,038.20x = 293,992.49 × 117,544.88
  4. Step 4: Simplify right side
    213,038.20x = 34,557,311,957.95
  5. Step 5: Solve for x
    x = 34,557,311,957.95/213,038.20
  6. Step 6: Final answer
    x = 162,211.81

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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.