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Finding the Fourth Proportional to 265,064.22, 365,863.83 and 156,231.81

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Solution

The fourth proportional to 265,064.22, 365,863.83 and 156,231.81 is: 215,644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,064.22 : 365,863.83 = 156,231.81 : x
  2. Step 2: Convert to fraction form
    265,064.22/365,863.83 = 156,231.81/x
  3. Step 3: Cross multiply
    265,064.22x = 365,863.83 × 156,231.81
  4. Step 4: Simplify right side
    265,064.22x = 57,159,568,374.43
  5. Step 5: Solve for x
    x = 57,159,568,374.43/265,064.22
  6. Step 6: Final answer
    x = 215,644.23

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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.