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Finding the Fourth Proportional to 451,693.94, 677,605.23 and 148,023.05

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Solution

The fourth proportional to 451,693.94, 677,605.23 and 148,023.05 is: 222,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,693.94 : 677,605.23 = 148,023.05 : x
  2. Step 2: Convert to fraction form
    451,693.94/677,605.23 = 148,023.05/x
  3. Step 3: Cross multiply
    451,693.94x = 677,605.23 × 148,023.05
  4. Step 4: Simplify right side
    451,693.94x = 100,301,189,452.53
  5. Step 5: Solve for x
    x = 100,301,189,452.53/451,693.94
  6. Step 6: Final answer
    x = 222,055.65

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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.