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Finding the Fourth Proportional to 302,094.56, 416,893.55 and 166,129.45

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Solution

The fourth proportional to 302,094.56, 416,893.55 and 166,129.45 is: 229,260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,094.56 : 416,893.55 = 166,129.45 : x
  2. Step 2: Convert to fraction form
    302,094.56/416,893.55 = 166,129.45/x
  3. Step 3: Cross multiply
    302,094.56x = 416,893.55 × 166,129.45
  4. Step 4: Simplify right side
    302,094.56x = 69,258,294,297.17
  5. Step 5: Solve for x
    x = 69,258,294,297.17/302,094.56
  6. Step 6: Final answer
    x = 229,260.31

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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.