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Finding the Fourth Proportional to 139,739.20, 209,608.80 and 112,091.20

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Solution

The fourth proportional to 139,739.20, 209,608.80 and 112,091.20 is: 168,136.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,739.20 : 209,608.80 = 112,091.20 : x
  2. Step 2: Convert to fraction form
    139,739.20/209,608.80 = 112,091.20/x
  3. Step 3: Cross multiply
    139,739.20x = 209,608.80 × 112,091.20
  4. Step 4: Simplify right side
    139,739.20x = 23,495,301,922.56
  5. Step 5: Solve for x
    x = 23,495,301,922.56/139,739.20
  6. Step 6: Final answer
    x = 168,136.80

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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.