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Finding the Fourth Proportional to 213,352.92, 294,428.01 and 116,558.16

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Solution

The fourth proportional to 213,352.92, 294,428.01 and 116,558.16 is: 160,850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,352.92 : 294,428.01 = 116,558.16 : x
  2. Step 2: Convert to fraction form
    213,352.92/294,428.01 = 116,558.16/x
  3. Step 3: Cross multiply
    213,352.92x = 294,428.01 × 116,558.16
  4. Step 4: Simplify right side
    213,352.92x = 34,317,987,098.06
  5. Step 5: Solve for x
    x = 34,317,987,098.06/213,352.92
  6. Step 6: Final answer
    x = 160,850.80

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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.