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Finding the Fourth Proportional to 282,188.54, 389,394.36 and 167,447.41

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Solution

The fourth proportional to 282,188.54, 389,394.36 and 167,447.41 is: 231,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,188.54 : 389,394.36 = 167,447.41 : x
  2. Step 2: Convert to fraction form
    282,188.54/389,394.36 = 167,447.41/x
  3. Step 3: Cross multiply
    282,188.54x = 389,394.36 × 167,447.41
  4. Step 4: Simplify right side
    282,188.54x = 65,203,076,077.12
  5. Step 5: Solve for x
    x = 65,203,076,077.12/282,188.54
  6. Step 6: Final answer
    x = 231,062.10

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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.