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Finding the Fourth Proportional to 213,107.96, 294,089.61 and 116,312.71

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Solution

The fourth proportional to 213,107.96, 294,089.61 and 116,312.71 is: 160,511.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,107.96 : 294,089.61 = 116,312.71 : x
  2. Step 2: Convert to fraction form
    213,107.96/294,089.61 = 116,312.71/x
  3. Step 3: Cross multiply
    213,107.96x = 294,089.61 × 116,312.71
  4. Step 4: Simplify right side
    213,107.96x = 34,206,359,521.94
  5. Step 5: Solve for x
    x = 34,206,359,521.94/213,107.96
  6. Step 6: Final answer
    x = 160,511.88

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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.