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Finding the Fourth Proportional to 264,133.46, 364,504.20 and 149,409.66

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Solution

The fourth proportional to 264,133.46, 364,504.20 and 149,409.66 is: 206,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,133.46 : 364,504.20 = 149,409.66 : x
  2. Step 2: Convert to fraction form
    264,133.46/364,504.20 = 149,409.66/x
  3. Step 3: Cross multiply
    264,133.46x = 364,504.20 × 149,409.66
  4. Step 4: Simplify right side
    264,133.46x = 54,460,450,237.61
  5. Step 5: Solve for x
    x = 54,460,450,237.61/264,133.46
  6. Step 6: Final answer
    x = 206,185.35

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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.