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Finding the Fourth Proportional to 213,324.50, 294,382.19 and 117,829.15

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Solution

The fourth proportional to 213,324.50, 294,382.19 and 117,829.15 is: 162,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,324.50 : 294,382.19 = 117,829.15 : x
  2. Step 2: Convert to fraction form
    213,324.50/294,382.19 = 117,829.15/x
  3. Step 3: Cross multiply
    213,324.50x = 294,382.19 × 117,829.15
  4. Step 4: Simplify right side
    213,324.50x = 34,686,802,781.46
  5. Step 5: Solve for x
    x = 34,686,802,781.46/213,324.50
  6. Step 6: Final answer
    x = 162,601.12

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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.