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Finding the Fourth Proportional to 172,912.15, 238,614 and 96,433.57

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Solution

The fourth proportional to 172,912.15, 238,614 and 96,433.57 is: 133,075.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,912.15 : 238,614 = 96,433.57 : x
  2. Step 2: Convert to fraction form
    172,912.15/238,614 = 96,433.57/x
  3. Step 3: Cross multiply
    172,912.15x = 238,614 × 96,433.57
  4. Step 4: Simplify right side
    172,912.15x = 23,010,399,871.98
  5. Step 5: Solve for x
    x = 23,010,399,871.98/172,912.15
  6. Step 6: Final answer
    x = 133,075.67

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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.