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Finding the Fourth Proportional to 143,289.60, 214,977.60 and 76,761.60

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Solution

The fourth proportional to 143,289.60, 214,977.60 and 76,761.60 is: 115,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,289.60 : 214,977.60 = 76,761.60 : x
  2. Step 2: Convert to fraction form
    143,289.60/214,977.60 = 76,761.60/x
  3. Step 3: Cross multiply
    143,289.60x = 214,977.60 × 76,761.60
  4. Step 4: Simplify right side
    143,289.60x = 16,502,024,540.16
  5. Step 5: Solve for x
    x = 16,502,024,540.16/143,289.60
  6. Step 6: Final answer
    x = 115,165.54

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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.