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Finding the Fourth Proportional to 262,903.14, 362,806.32 and 149,736.42

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Solution

The fourth proportional to 262,903.14, 362,806.32 and 149,736.42 is: 206,636.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,903.14 : 362,806.32 = 149,736.42 : x
  2. Step 2: Convert to fraction form
    262,903.14/362,806.32 = 149,736.42/x
  3. Step 3: Cross multiply
    262,903.14x = 362,806.32 × 149,736.42
  4. Step 4: Simplify right side
    262,903.14x = 54,325,319,510.17
  5. Step 5: Solve for x
    x = 54,325,319,510.17/262,903.14
  6. Step 6: Final answer
    x = 206,636.25

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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.