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Finding the Fourth Proportional to 262,435.38, 362,335.14 and 201,899.22

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Solution

The fourth proportional to 262,435.38, 362,335.14 and 201,899.22 is: 278,755.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,435.38 : 362,335.14 = 201,899.22 : x
  2. Step 2: Convert to fraction form
    262,435.38/362,335.14 = 201,899.22/x
  3. Step 3: Cross multiply
    262,435.38x = 362,335.14 × 201,899.22
  4. Step 4: Simplify right side
    262,435.38x = 73,155,182,144.59
  5. Step 5: Solve for x
    x = 73,155,182,144.59/262,435.38
  6. Step 6: Final answer
    x = 278,755.03

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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.