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Finding the Fourth Proportional to 262,816.40, 362,669.64 and 149,638.16

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Solution

The fourth proportional to 262,816.40, 362,669.64 and 149,638.16 is: 206,490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,816.40 : 362,669.64 = 149,638.16 : x
  2. Step 2: Convert to fraction form
    262,816.40/362,669.64 = 149,638.16/x
  3. Step 3: Cross multiply
    262,816.40x = 362,669.64 × 149,638.16
  4. Step 4: Simplify right side
    262,816.40x = 54,269,217,617.46
  5. Step 5: Solve for x
    x = 54,269,217,617.46/262,816.40
  6. Step 6: Final answer
    x = 206,490.99

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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.