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Finding the Fourth Proportional to 105,852, 158,779.20 and 34,773.60

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Solution

The fourth proportional to 105,852, 158,779.20 and 34,773.60 is: 52,160.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,852 : 158,779.20 = 34,773.60 : x
  2. Step 2: Convert to fraction form
    105,852/158,779.20 = 34,773.60/x
  3. Step 3: Cross multiply
    105,852x = 158,779.20 × 34,773.60
  4. Step 4: Simplify right side
    105,852x = 5,521,324,389.12
  5. Step 5: Solve for x
    x = 5,521,324,389.12/105,852
  6. Step 6: Final answer
    x = 52,160.79

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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.