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Finding the Fourth Proportional to 144,902.25, 217,353.38 and 61,796.25

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Solution

The fourth proportional to 144,902.25, 217,353.38 and 61,796.25 is: 92,694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,902.25 : 217,353.38 = 61,796.25 : x
  2. Step 2: Convert to fraction form
    144,902.25/217,353.38 = 61,796.25/x
  3. Step 3: Cross multiply
    144,902.25x = 217,353.38 × 61,796.25
  4. Step 4: Simplify right side
    144,902.25x = 13,431,623,499.84
  5. Step 5: Solve for x
    x = 13,431,623,499.84/144,902.25
  6. Step 6: Final answer
    x = 92,694.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.