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Finding the Fourth Proportional to 193,313.80, 289,817.10 and 105,761.80

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Solution

The fourth proportional to 193,313.80, 289,817.10 and 105,761.80 is: 158,558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,313.80 : 289,817.10 = 105,761.80 : x
  2. Step 2: Convert to fraction form
    193,313.80/289,817.10 = 105,761.80/x
  3. Step 3: Cross multiply
    193,313.80x = 289,817.10 × 105,761.80
  4. Step 4: Simplify right side
    193,313.80x = 30,651,578,166.78
  5. Step 5: Solve for x
    x = 30,651,578,166.78/193,313.80
  6. Step 6: Final answer
    x = 158,558.67

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1.5x scale

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.