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Finding the Fourth Proportional to 264,559.16, 396,723.93 and 96,023.48

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Solution

The fourth proportional to 264,559.16, 396,723.93 and 96,023.48 is: 143,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,559.16 : 396,723.93 = 96,023.48 : x
  2. Step 2: Convert to fraction form
    264,559.16/396,723.93 = 96,023.48/x
  3. Step 3: Cross multiply
    264,559.16x = 396,723.93 × 96,023.48
  4. Step 4: Simplify right side
    264,559.16x = 38,094,810,014.17
  5. Step 5: Solve for x
    x = 38,094,810,014.17/264,559.16
  6. Step 6: Final answer
    x = 143,993.54

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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.