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Finding the Fourth Proportional to 107,525.80, 161,400.74 and 105,113.50

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Solution

The fourth proportional to 107,525.80, 161,400.74 and 105,113.50 is: 157,779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,525.80 : 161,400.74 = 105,113.50 : x
  2. Step 2: Convert to fraction form
    107,525.80/161,400.74 = 105,113.50/x
  3. Step 3: Cross multiply
    107,525.80x = 161,400.74 × 105,113.50
  4. Step 4: Simplify right side
    107,525.80x = 16,965,396,683.99
  5. Step 5: Solve for x
    x = 16,965,396,683.99/107,525.80
  6. Step 6: Final answer
    x = 157,779.78

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