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Finding the Fourth Proportional to 107,652.62, 148,457.54 and 82,113.60

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Solution

The fourth proportional to 107,652.62, 148,457.54 and 82,113.60 is: 113,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,652.62 : 148,457.54 = 82,113.60 : x
  2. Step 2: Convert to fraction form
    107,652.62/148,457.54 = 82,113.60/x
  3. Step 3: Cross multiply
    107,652.62x = 148,457.54 × 82,113.60
  4. Step 4: Simplify right side
    107,652.62x = 12,190,383,056.54
  5. Step 5: Solve for x
    x = 12,190,383,056.54/107,652.62
  6. Step 6: Final answer
    x = 113,238.15

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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.