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Finding the Fourth Proportional to 196,985.67, 295,643.81 and 102,273.99

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Solution

The fourth proportional to 196,985.67, 295,643.81 and 102,273.99 is: 153,496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,985.67 : 295,643.81 = 102,273.99 : x
  2. Step 2: Convert to fraction form
    196,985.67/295,643.81 = 102,273.99/x
  3. Step 3: Cross multiply
    196,985.67x = 295,643.81 × 102,273.99
  4. Step 4: Simplify right side
    196,985.67x = 30,236,672,067.50
  5. Step 5: Solve for x
    x = 30,236,672,067.50/196,985.67
  6. Step 6: Final answer
    x = 153,496.81

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