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Finding the Fourth Proportional to 262,998.78, 362,849.67 and 149,741.34

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Solution

The fourth proportional to 262,998.78, 362,849.67 and 149,741.34 is: 206,592.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,998.78 : 362,849.67 = 149,741.34 : x
  2. Step 2: Convert to fraction form
    262,998.78/362,849.67 = 149,741.34/x
  3. Step 3: Cross multiply
    262,998.78x = 362,849.67 × 149,741.34
  4. Step 4: Simplify right side
    262,998.78x = 54,333,595,804.36
  5. Step 5: Solve for x
    x = 54,333,595,804.36/262,998.78
  6. Step 6: Final answer
    x = 206,592.58

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1.5x scale

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.