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Finding the Fourth Proportional to 196,090.10, 293,745.14 and 153,771.66

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Solution

The fourth proportional to 196,090.10, 293,745.14 and 153,771.66 is: 230,351.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,090.10 : 293,745.14 = 153,771.66 : x
  2. Step 2: Convert to fraction form
    196,090.10/293,745.14 = 153,771.66/x
  3. Step 3: Cross multiply
    196,090.10x = 293,745.14 × 153,771.66
  4. Step 4: Simplify right side
    196,090.10x = 45,169,677,794.73
  5. Step 5: Solve for x
    x = 45,169,677,794.73/196,090.10
  6. Step 6: Final answer
    x = 230,351.65

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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.