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Finding the Fourth Proportional to 147,474, 221,211.84 and 36,666

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Solution

The fourth proportional to 147,474, 221,211.84 and 36,666 is: 54,999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,474 : 221,211.84 = 36,666 : x
  2. Step 2: Convert to fraction form
    147,474/221,211.84 = 36,666/x
  3. Step 3: Cross multiply
    147,474x = 221,211.84 × 36,666
  4. Step 4: Simplify right side
    147,474x = 8,110,953,325.44
  5. Step 5: Solve for x
    x = 8,110,953,325.44/147,474
  6. Step 6: Final answer
    x = 54,999.21

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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.