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Finding the Fourth Proportional to 103,164.48, 142,429.08 and 67,414.32

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Solution

The fourth proportional to 103,164.48, 142,429.08 and 67,414.32 is: 93,072.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,164.48 : 142,429.08 = 67,414.32 : x
  2. Step 2: Convert to fraction form
    103,164.48/142,429.08 = 67,414.32/x
  3. Step 3: Cross multiply
    103,164.48x = 142,429.08 × 67,414.32
  4. Step 4: Simplify right side
    103,164.48x = 9,601,759,576.43
  5. Step 5: Solve for x
    x = 9,601,759,576.43/103,164.48
  6. Step 6: Final answer
    x = 93,072.34

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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.