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Finding the Fourth Proportional to 302,057.44, 416,848.40 and 166,084.40

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Solution

The fourth proportional to 302,057.44, 416,848.40 and 166,084.40 is: 229,201.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,057.44 : 416,848.40 = 166,084.40 : x
  2. Step 2: Convert to fraction form
    302,057.44/416,848.40 = 166,084.40/x
  3. Step 3: Cross multiply
    302,057.44x = 416,848.40 × 166,084.40
  4. Step 4: Simplify right side
    302,057.44x = 69,232,016,404.96
  5. Step 5: Solve for x
    x = 69,232,016,404.96/302,057.44
  6. Step 6: Final answer
    x = 229,201.49

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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.