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Finding the Fourth Proportional to 262,653.81, 362,463.72 and 149,476.56

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Solution

The fourth proportional to 262,653.81, 362,463.72 and 149,476.56 is: 206,278.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,653.81 : 362,463.72 = 149,476.56 : x
  2. Step 2: Convert to fraction form
    262,653.81/362,463.72 = 149,476.56/x
  3. Step 3: Cross multiply
    262,653.81x = 362,463.72 × 149,476.56
  4. Step 4: Simplify right side
    262,653.81x = 54,179,829,990.40
  5. Step 5: Solve for x
    x = 54,179,829,990.40/262,653.81
  6. Step 6: Final answer
    x = 206,278.48

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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.