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Finding the Fourth Proportional to 147,264, 220,896 and 36,456

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Solution

The fourth proportional to 147,264, 220,896 and 36,456 is: 54,684

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,264 : 220,896 = 36,456 : x
  2. Step 2: Convert to fraction form
    147,264/220,896 = 36,456/x
  3. Step 3: Cross multiply
    147,264x = 220,896 × 36,456
  4. Step 4: Simplify right side
    147,264x = 8,052,984,576
  5. Step 5: Solve for x
    x = 8,052,984,576/147,264
  6. Step 6: Final answer
    x = 54,684

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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.