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Finding the Fourth Proportional to 162,205.44, 223,984.44 and 101,880.96

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Solution

The fourth proportional to 162,205.44, 223,984.44 and 101,880.96 is: 140,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,205.44 : 223,984.44 = 101,880.96 : x
  2. Step 2: Convert to fraction form
    162,205.44/223,984.44 = 101,880.96/x
  3. Step 3: Cross multiply
    162,205.44x = 223,984.44 × 101,880.96
  4. Step 4: Simplify right side
    162,205.44x = 22,819,749,772.26
  5. Step 5: Solve for x
    x = 22,819,749,772.26/162,205.44
  6. Step 6: Final answer
    x = 140,684.24

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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.