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Finding the Fourth Proportional to 143,271.60, 214,950.60 and 76,743.60

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Solution

The fourth proportional to 143,271.60, 214,950.60 and 76,743.60 is: 115,138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,271.60 : 214,950.60 = 76,743.60 : x
  2. Step 2: Convert to fraction form
    143,271.60/214,950.60 = 76,743.60/x
  3. Step 3: Cross multiply
    143,271.60x = 214,950.60 × 76,743.60
  4. Step 4: Simplify right side
    143,271.60x = 16,496,082,866.16
  5. Step 5: Solve for x
    x = 16,496,082,866.16/143,271.60
  6. Step 6: Final answer
    x = 115,138.54

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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.