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Finding the Fourth Proportional to 218,231.36, 301,297.64 and 149,435.95

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Solution

The fourth proportional to 218,231.36, 301,297.64 and 149,435.95 is: 206,316.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,231.36 : 301,297.64 = 149,435.95 : x
  2. Step 2: Convert to fraction form
    218,231.36/301,297.64 = 149,435.95/x
  3. Step 3: Cross multiply
    218,231.36x = 301,297.64 × 149,435.95
  4. Step 4: Simplify right side
    218,231.36x = 45,024,699,066.16
  5. Step 5: Solve for x
    x = 45,024,699,066.16/218,231.36
  6. Step 6: Final answer
    x = 206,316.36

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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.