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Finding the Fourth Proportional to 262,855.25, 362,740.57 and 141,996.53

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Solution

The fourth proportional to 262,855.25, 362,740.57 and 141,996.53 is: 195,955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,855.25 : 362,740.57 = 141,996.53 : x
  2. Step 2: Convert to fraction form
    262,855.25/362,740.57 = 141,996.53/x
  3. Step 3: Cross multiply
    262,855.25x = 362,740.57 × 141,996.53
  4. Step 4: Simplify right side
    262,855.25x = 51,507,901,520.24
  5. Step 5: Solve for x
    x = 51,507,901,520.24/262,855.25
  6. Step 6: Final answer
    x = 195,955.38

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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.