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Finding the Fourth Proportional to 147,456.30, 221,184.60 and 36,648.30

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Solution

The fourth proportional to 147,456.30, 221,184.60 and 36,648.30 is: 54,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,456.30 : 221,184.60 = 36,648.30 : x
  2. Step 2: Convert to fraction form
    147,456.30/221,184.60 = 36,648.30/x
  3. Step 3: Cross multiply
    147,456.30x = 221,184.60 × 36,648.30
  4. Step 4: Simplify right side
    147,456.30x = 8,106,039,576.18
  5. Step 5: Solve for x
    x = 8,106,039,576.18/147,456.30
  6. Step 6: Final answer
    x = 54,972.49

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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.