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Finding the Fourth Proportional to 147,635.50, 203,747.94 and 83,993.80

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Solution

The fourth proportional to 147,635.50, 203,747.94 and 83,993.80 is: 115,917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,635.50 : 203,747.94 = 83,993.80 : x
  2. Step 2: Convert to fraction form
    147,635.50/203,747.94 = 83,993.80/x
  3. Step 3: Cross multiply
    147,635.50x = 203,747.94 × 83,993.80
  4. Step 4: Simplify right side
    147,635.50x = 17,113,563,722.77
  5. Step 5: Solve for x
    x = 17,113,563,722.77/147,635.50
  6. Step 6: Final answer
    x = 115,917.67

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1.5x scale

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.