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Finding the Fourth Proportional to 262,585.64, 362,369.22 and 149,405.96

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Solution

The fourth proportional to 262,585.64, 362,369.22 and 149,405.96 is: 206,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,585.64 : 362,369.22 = 149,405.96 : x
  2. Step 2: Convert to fraction form
    262,585.64/362,369.22 = 149,405.96/x
  3. Step 3: Cross multiply
    262,585.64x = 362,369.22 × 149,405.96
  4. Step 4: Simplify right side
    262,585.64x = 54,140,121,188.55
  5. Step 5: Solve for x
    x = 54,140,121,188.55/262,585.64
  6. Step 6: Final answer
    x = 206,180.81

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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.