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Finding the Fourth Proportional to 302,141.15, 416,957.56 and 164,321.36

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Solution

The fourth proportional to 302,141.15, 416,957.56 and 164,321.36 is: 226,764.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,141.15 : 416,957.56 = 164,321.36 : x
  2. Step 2: Convert to fraction form
    302,141.15/416,957.56 = 164,321.36/x
  3. Step 3: Cross multiply
    302,141.15x = 416,957.56 × 164,321.36
  4. Step 4: Simplify right side
    302,141.15x = 68,515,030,825.89
  5. Step 5: Solve for x
    x = 68,515,030,825.89/302,141.15
  6. Step 6: Final answer
    x = 226,764.98

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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.