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Finding the Fourth Proportional to 302,009.43, 416,773.85 and 166,057.28

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Solution

The fourth proportional to 302,009.43, 416,773.85 and 166,057.28 is: 229,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,009.43 : 416,773.85 = 166,057.28 : x
  2. Step 2: Convert to fraction form
    302,009.43/416,773.85 = 166,057.28/x
  3. Step 3: Cross multiply
    302,009.43x = 416,773.85 × 166,057.28
  4. Step 4: Simplify right side
    302,009.43x = 69,208,328,991.97
  5. Step 5: Solve for x
    x = 69,208,328,991.97/302,009.43
  6. Step 6: Final answer
    x = 229,159.50

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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.