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Finding the Fourth Proportional to 262,765.40, 362,616.60 and 149,588

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Solution

The fourth proportional to 262,765.40, 362,616.60 and 149,588 is: 206,431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,765.40 : 362,616.60 = 149,588 : x
  2. Step 2: Convert to fraction form
    262,765.40/362,616.60 = 149,588/x
  3. Step 3: Cross multiply
    262,765.40x = 362,616.60 × 149,588
  4. Step 4: Simplify right side
    262,765.40x = 54,243,091,960.80
  5. Step 5: Solve for x
    x = 54,243,091,960.80/262,765.40
  6. Step 6: Final answer
    x = 206,431.64

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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.