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Finding the Fourth Proportional to 105,147.84, 145,103.88 and 67,422

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Solution

The fourth proportional to 105,147.84, 145,103.88 and 67,422 is: 93,042.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,147.84 : 145,103.88 = 67,422 : x
  2. Step 2: Convert to fraction form
    105,147.84/145,103.88 = 67,422/x
  3. Step 3: Cross multiply
    105,147.84x = 145,103.88 × 67,422
  4. Step 4: Simplify right side
    105,147.84x = 9,783,193,797.36
  5. Step 5: Solve for x
    x = 9,783,193,797.36/105,147.84
  6. Step 6: Final answer
    x = 93,042.27

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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.