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Finding the Fourth Proportional to 148,477, 222,728.48 and 37,669

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Solution

The fourth proportional to 148,477, 222,728.48 and 37,669 is: 56,506.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,477 : 222,728.48 = 37,669 : x
  2. Step 2: Convert to fraction form
    148,477/222,728.48 = 37,669/x
  3. Step 3: Cross multiply
    148,477x = 222,728.48 × 37,669
  4. Step 4: Simplify right side
    148,477x = 8,389,959,113.12
  5. Step 5: Solve for x
    x = 8,389,959,113.12/148,477
  6. Step 6: Final answer
    x = 56,506.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.