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Finding the Fourth Proportional to 147,468, 221,202.81 and 36,660

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Solution

The fourth proportional to 147,468, 221,202.81 and 36,660 is: 54,990.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,468 : 221,202.81 = 36,660 : x
  2. Step 2: Convert to fraction form
    147,468/221,202.81 = 36,660/x
  3. Step 3: Cross multiply
    147,468x = 221,202.81 × 36,660
  4. Step 4: Simplify right side
    147,468x = 8,109,295,014.60
  5. Step 5: Solve for x
    x = 8,109,295,014.60/147,468
  6. Step 6: Final answer
    x = 54,990.20

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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.