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Finding the Fourth Proportional to 222,996.69, 307,840.14 and 149,534.16

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Solution

The fourth proportional to 222,996.69, 307,840.14 and 149,534.16 is: 206,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,996.69 : 307,840.14 = 149,534.16 : x
  2. Step 2: Convert to fraction form
    222,996.69/307,840.14 = 149,534.16/x
  3. Step 3: Cross multiply
    222,996.69x = 307,840.14 × 149,534.16
  4. Step 4: Simplify right side
    222,996.69x = 46,032,616,749.18
  5. Step 5: Solve for x
    x = 46,032,616,749.18/222,996.69
  6. Step 6: Final answer
    x = 206,427.35

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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.