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Finding the Fourth Proportional to 167,112.84, 230,485.38 and 103,485.96

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Solution

The fourth proportional to 167,112.84, 230,485.38 and 103,485.96 is: 142,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,112.84 : 230,485.38 = 103,485.96 : x
  2. Step 2: Convert to fraction form
    167,112.84/230,485.38 = 103,485.96/x
  3. Step 3: Cross multiply
    167,112.84x = 230,485.38 × 103,485.96
  4. Step 4: Simplify right side
    167,112.84x = 23,852,000,815.26
  5. Step 5: Solve for x
    x = 23,852,000,815.26/167,112.84
  6. Step 6: Final answer
    x = 142,729.91

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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.