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Finding the Fourth Proportional to 262,680.64, 362,513.28 and 149,539.84

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Solution

The fourth proportional to 262,680.64, 362,513.28 and 149,539.84 is: 206,372.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,680.64 : 362,513.28 = 149,539.84 : x
  2. Step 2: Convert to fraction form
    262,680.64/362,513.28 = 149,539.84/x
  3. Step 3: Cross multiply
    262,680.64x = 362,513.28 × 149,539.84
  4. Step 4: Simplify right side
    262,680.64x = 54,210,177,889.08
  5. Step 5: Solve for x
    x = 54,210,177,889.08/262,680.64
  6. Step 6: Final answer
    x = 206,372.95

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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.