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Finding the Fourth Proportional to 148,472, 222,720.96 and 37,664

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Solution

The fourth proportional to 148,472, 222,720.96 and 37,664 is: 56,499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,472 : 222,720.96 = 37,664 : x
  2. Step 2: Convert to fraction form
    148,472/222,720.96 = 37,664/x
  3. Step 3: Cross multiply
    148,472x = 222,720.96 × 37,664
  4. Step 4: Simplify right side
    148,472x = 8,388,562,237.44
  5. Step 5: Solve for x
    x = 8,388,562,237.44/148,472
  6. Step 6: Final answer
    x = 56,499.29

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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.