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Finding the Fourth Proportional to 262,405.06, 362,126.97 and 149,244.10

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Solution

The fourth proportional to 262,405.06, 362,126.97 and 149,244.10 is: 205,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,405.06 : 362,126.97 = 149,244.10 : x
  2. Step 2: Convert to fraction form
    262,405.06/362,126.97 = 149,244.10/x
  3. Step 3: Cross multiply
    262,405.06x = 362,126.97 × 149,244.10
  4. Step 4: Simplify right side
    262,405.06x = 54,045,313,723.38
  5. Step 5: Solve for x
    x = 54,045,313,723.38/262,405.06
  6. Step 6: Final answer
    x = 205,961.40

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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.