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Finding the Fourth Proportional to 302,058.44, 416,849.78 and 166,085.40

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Solution

The fourth proportional to 302,058.44, 416,849.78 and 166,085.40 is: 229,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,058.44 : 416,849.78 = 166,085.40 : x
  2. Step 2: Convert to fraction form
    302,058.44/416,849.78 = 166,085.40/x
  3. Step 3: Cross multiply
    302,058.44x = 416,849.78 × 166,085.40
  4. Step 4: Simplify right side
    302,058.44x = 69,232,662,451.21
  5. Step 5: Solve for x
    x = 69,232,662,451.21/302,058.44
  6. Step 6: Final answer
    x = 229,202.87

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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.