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Finding the Fourth Proportional to 213,584.37, 294,737.09 and 116,786.40

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Solution

The fourth proportional to 213,584.37, 294,737.09 and 116,786.40 is: 161,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,584.37 : 294,737.09 = 116,786.40 : x
  2. Step 2: Convert to fraction form
    213,584.37/294,737.09 = 116,786.40/x
  3. Step 3: Cross multiply
    213,584.37x = 294,737.09 × 116,786.40
  4. Step 4: Simplify right side
    213,584.37x = 34,421,283,687.58
  5. Step 5: Solve for x
    x = 34,421,283,687.58/213,584.37
  6. Step 6: Final answer
    x = 161,160.12

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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.