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Finding the Fourth Proportional to 262,757.89, 362,605.86 and 141,899.16

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Solution

The fourth proportional to 262,757.89, 362,605.86 and 141,899.16 is: 195,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,757.89 : 362,605.86 = 141,899.16 : x
  2. Step 2: Convert to fraction form
    262,757.89/362,605.86 = 141,899.16/x
  3. Step 3: Cross multiply
    262,757.89x = 362,605.86 × 141,899.16
  4. Step 4: Simplify right side
    262,757.89x = 51,453,464,422.55
  5. Step 5: Solve for x
    x = 51,453,464,422.55/262,757.89
  6. Step 6: Final answer
    x = 195,820.82

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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.