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Finding the Fourth Proportional to 119,673.70, 165,149.94 and 65,226.48

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Solution

The fourth proportional to 119,673.70, 165,149.94 and 65,226.48 is: 90,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,673.70 : 165,149.94 = 65,226.48 : x
  2. Step 2: Convert to fraction form
    119,673.70/165,149.94 = 65,226.48/x
  3. Step 3: Cross multiply
    119,673.70x = 165,149.94 × 65,226.48
  4. Step 4: Simplify right side
    119,673.70x = 10,772,149,258.41
  5. Step 5: Solve for x
    x = 10,772,149,258.41/119,673.70
  6. Step 6: Final answer
    x = 90,012.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.