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Finding the Fourth Proportional to 105,658.85, 145,809.21 and 57,911.18

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Solution

The fourth proportional to 105,658.85, 145,809.21 and 57,911.18 is: 79,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,658.85 : 145,809.21 = 57,911.18 : x
  2. Step 2: Convert to fraction form
    105,658.85/145,809.21 = 57,911.18/x
  3. Step 3: Cross multiply
    105,658.85x = 145,809.21 × 57,911.18
  4. Step 4: Simplify right side
    105,658.85x = 8,443,982,676.92
  5. Step 5: Solve for x
    x = 8,443,982,676.92/105,658.85
  6. Step 6: Final answer
    x = 79,917.42

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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.