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Finding the Fourth Proportional to 213,140.92, 294,113.49 and 117,641.42

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Solution

The fourth proportional to 213,140.92, 294,113.49 and 117,641.42 is: 162,333.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,140.92 : 294,113.49 = 117,641.42 : x
  2. Step 2: Convert to fraction form
    213,140.92/294,113.49 = 117,641.42/x
  3. Step 3: Cross multiply
    213,140.92x = 294,113.49 × 117,641.42
  4. Step 4: Simplify right side
    213,140.92x = 34,599,928,604.76
  5. Step 5: Solve for x
    x = 34,599,928,604.76/213,140.92
  6. Step 6: Final answer
    x = 162,333.58

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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.