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Finding the Fourth Proportional to 100,096.20, 149,779.80 and 73,852.20

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Solution

The fourth proportional to 100,096.20, 149,779.80 and 73,852.20 is: 110,509.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,096.20 : 149,779.80 = 73,852.20 : x
  2. Step 2: Convert to fraction form
    100,096.20/149,779.80 = 73,852.20/x
  3. Step 3: Cross multiply
    100,096.20x = 149,779.80 × 73,852.20
  4. Step 4: Simplify right side
    100,096.20x = 11,061,567,745.56
  5. Step 5: Solve for x
    x = 11,061,567,745.56/100,096.20
  6. Step 6: Final answer
    x = 110,509.37

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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.