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Finding the Fourth Proportional to 121,037.80, 181,651.20 and 83,858.80

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Solution

The fourth proportional to 121,037.80, 181,651.20 and 83,858.80 is: 125,853.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,037.80 : 181,651.20 = 83,858.80 : x
  2. Step 2: Convert to fraction form
    121,037.80/181,651.20 = 83,858.80/x
  3. Step 3: Cross multiply
    121,037.80x = 181,651.20 × 83,858.80
  4. Step 4: Simplify right side
    121,037.80x = 15,233,051,650.56
  5. Step 5: Solve for x
    x = 15,233,051,650.56/121,037.80
  6. Step 6: Final answer
    x = 125,853.67

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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.