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Finding the Fourth Proportional to 213,141.27, 294,134.97 and 117,647.99

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Solution

The fourth proportional to 213,141.27, 294,134.97 and 117,647.99 is: 162,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,141.27 : 294,134.97 = 117,647.99 : x
  2. Step 2: Convert to fraction form
    213,141.27/294,134.97 = 117,647.99/x
  3. Step 3: Cross multiply
    213,141.27x = 294,134.97 × 117,647.99
  4. Step 4: Simplify right side
    213,141.27x = 34,604,388,009.21
  5. Step 5: Solve for x
    x = 34,604,388,009.21/213,141.27
  6. Step 6: Final answer
    x = 162,354.24

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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.