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Finding the Fourth Proportional to 125,567.20, 188,788.20 and 106,321.60

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Solution

The fourth proportional to 125,567.20, 188,788.20 and 106,321.60 is: 159,852.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,567.20 : 188,788.20 = 106,321.60 : x
  2. Step 2: Convert to fraction form
    125,567.20/188,788.20 = 106,321.60/x
  3. Step 3: Cross multiply
    125,567.20x = 188,788.20 × 106,321.60
  4. Step 4: Simplify right side
    125,567.20x = 20,072,263,485.12
  5. Step 5: Solve for x
    x = 20,072,263,485.12/125,567.20
  6. Step 6: Final answer
    x = 159,852.76

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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.