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Finding the Fourth Proportional to 222,996.28, 307,730.48 and 126,198.34

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Solution

The fourth proportional to 222,996.28, 307,730.48 and 126,198.34 is: 174,151.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,996.28 : 307,730.48 = 126,198.34 : x
  2. Step 2: Convert to fraction form
    222,996.28/307,730.48 = 126,198.34/x
  3. Step 3: Cross multiply
    222,996.28x = 307,730.48 × 126,198.34
  4. Step 4: Simplify right side
    222,996.28x = 38,835,075,743.40
  5. Step 5: Solve for x
    x = 38,835,075,743.40/222,996.28
  6. Step 6: Final answer
    x = 174,151.23

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1.5x scale

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.