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Finding the Fourth Proportional to 216,066.24, 298,170.96 and 120,567.24

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Solution

The fourth proportional to 216,066.24, 298,170.96 and 120,567.24 is: 166,382.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,066.24 : 298,170.96 = 120,567.24 : x
  2. Step 2: Convert to fraction form
    216,066.24/298,170.96 = 120,567.24/x
  3. Step 3: Cross multiply
    216,066.24x = 298,170.96 × 120,567.24
  4. Step 4: Simplify right side
    216,066.24x = 35,949,649,695.35
  5. Step 5: Solve for x
    x = 35,949,649,695.35/216,066.24
  6. Step 6: Final answer
    x = 166,382.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.