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Finding the Fourth Proportional to 302,178.40, 416,997.48 and 166,212.34

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Solution

The fourth proportional to 302,178.40, 416,997.48 and 166,212.34 is: 229,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,178.40 : 416,997.48 = 166,212.34 : x
  2. Step 2: Convert to fraction form
    302,178.40/416,997.48 = 166,212.34/x
  3. Step 3: Cross multiply
    302,178.40x = 416,997.48 × 166,212.34
  4. Step 4: Simplify right side
    302,178.40x = 69,310,125,882.41
  5. Step 5: Solve for x
    x = 69,310,125,882.41/302,178.40
  6. Step 6: Final answer
    x = 229,368.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.