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Finding the Fourth Proportional to 302,166, 416,998.26 and 166,192.92

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Solution

The fourth proportional to 302,166, 416,998.26 and 166,192.92 is: 229,351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,166 : 416,998.26 = 166,192.92 : x
  2. Step 2: Convert to fraction form
    302,166/416,998.26 = 166,192.92/x
  3. Step 3: Cross multiply
    302,166x = 416,998.26 × 166,192.92
  4. Step 4: Simplify right side
    302,166x = 69,302,158,464.32
  5. Step 5: Solve for x
    x = 69,302,158,464.32/302,166
  6. Step 6: Final answer
    x = 229,351.28

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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.