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Finding the Fourth Proportional to 142,859.40, 214,289.10 and 119,704.20

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Solution

The fourth proportional to 142,859.40, 214,289.10 and 119,704.20 is: 179,556.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,859.40 : 214,289.10 = 119,704.20 : x
  2. Step 2: Convert to fraction form
    142,859.40/214,289.10 = 119,704.20/x
  3. Step 3: Cross multiply
    142,859.40x = 214,289.10 × 119,704.20
  4. Step 4: Simplify right side
    142,859.40x = 25,651,305,284.22
  5. Step 5: Solve for x
    x = 25,651,305,284.22/142,859.40
  6. Step 6: Final answer
    x = 179,556.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.