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Finding the Fourth Proportional to 105,197.46, 145,076.34 and 82,230.32

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Solution

The fourth proportional to 105,197.46, 145,076.34 and 82,230.32 is: 113,402.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,197.46 : 145,076.34 = 82,230.32 : x
  2. Step 2: Convert to fraction form
    105,197.46/145,076.34 = 82,230.32/x
  3. Step 3: Cross multiply
    105,197.46x = 145,076.34 × 82,230.32
  4. Step 4: Simplify right side
    105,197.46x = 11,929,673,862.63
  5. Step 5: Solve for x
    x = 11,929,673,862.63/105,197.46
  6. Step 6: Final answer
    x = 113,402.68

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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.