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Finding the Fourth Proportional to 107,676.80, 161,457.60 and 45,276.80

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Solution

The fourth proportional to 107,676.80, 161,457.60 and 45,276.80 is: 67,890.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,676.80 : 161,457.60 = 45,276.80 : x
  2. Step 2: Convert to fraction form
    107,676.80/161,457.60 = 45,276.80/x
  3. Step 3: Cross multiply
    107,676.80x = 161,457.60 × 45,276.80
  4. Step 4: Simplify right side
    107,676.80x = 7,310,283,463.68
  5. Step 5: Solve for x
    x = 7,310,283,463.68/107,676.80
  6. Step 6: Final answer
    x = 67,890.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.