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Finding the Fourth Proportional to 222,964.94, 307,604.02 and 127,420.38

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Solution

The fourth proportional to 222,964.94, 307,604.02 and 127,420.38 is: 175,790.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,964.94 : 307,604.02 = 127,420.38 : x
  2. Step 2: Convert to fraction form
    222,964.94/307,604.02 = 127,420.38/x
  3. Step 3: Cross multiply
    222,964.94x = 307,604.02 × 127,420.38
  4. Step 4: Simplify right side
    222,964.94x = 39,195,021,117.93
  5. Step 5: Solve for x
    x = 39,195,021,117.93/222,964.94
  6. Step 6: Final answer
    x = 175,790.06

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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.