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Finding the Fourth Proportional to 222,954.48, 307,932.72 and 146,813.94

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Solution

The fourth proportional to 222,954.48, 307,932.72 and 146,813.94 is: 202,771.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,954.48 : 307,932.72 = 146,813.94 : x
  2. Step 2: Convert to fraction form
    222,954.48/307,932.72 = 146,813.94/x
  3. Step 3: Cross multiply
    222,954.48x = 307,932.72 × 146,813.94
  4. Step 4: Simplify right side
    222,954.48x = 45,208,815,878.12
  5. Step 5: Solve for x
    x = 45,208,815,878.12/222,954.48
  6. Step 6: Final answer
    x = 202,771.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.