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Finding the Fourth Proportional to 522,099.87, 783,150.48 and 143,023.97

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Solution

The fourth proportional to 522,099.87, 783,150.48 and 143,023.97 is: 214,536.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,099.87 : 783,150.48 = 143,023.97 : x
  2. Step 2: Convert to fraction form
    522,099.87/783,150.48 = 143,023.97/x
  3. Step 3: Cross multiply
    522,099.87x = 783,150.48 × 143,023.97
  4. Step 4: Simplify right side
    522,099.87x = 112,009,290,757.01
  5. Step 5: Solve for x
    x = 112,009,290,757.01/522,099.87
  6. Step 6: Final answer
    x = 214,536.14

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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.