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Finding the Fourth Proportional to 263,441.56, 363,546.20 and 142,580

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Solution

The fourth proportional to 263,441.56, 363,546.20 and 142,580 is: 196,758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,441.56 : 363,546.20 = 142,580 : x
  2. Step 2: Convert to fraction form
    263,441.56/363,546.20 = 142,580/x
  3. Step 3: Cross multiply
    263,441.56x = 363,546.20 × 142,580
  4. Step 4: Simplify right side
    263,441.56x = 51,834,417,196
  5. Step 5: Solve for x
    x = 51,834,417,196/263,441.56
  6. Step 6: Final answer
    x = 196,758.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.