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Finding the Fourth Proportional to 201,947.70, 302,991.24 and 89,706.54

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Solution

The fourth proportional to 201,947.70, 302,991.24 and 89,706.54 is: 134,590.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,947.70 : 302,991.24 = 89,706.54 : x
  2. Step 2: Convert to fraction form
    201,947.70/302,991.24 = 89,706.54/x
  3. Step 3: Cross multiply
    201,947.70x = 302,991.24 × 89,706.54
  4. Step 4: Simplify right side
    201,947.70x = 27,180,295,790.71
  5. Step 5: Solve for x
    x = 27,180,295,790.71/201,947.70
  6. Step 6: Final answer
    x = 134,590.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.