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Finding the Fourth Proportional to 225,657.96, 338,399.44 and 120,419.52

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Solution

The fourth proportional to 225,657.96, 338,399.44 and 120,419.52 is: 180,582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,657.96 : 338,399.44 = 120,419.52 : x
  2. Step 2: Convert to fraction form
    225,657.96/338,399.44 = 120,419.52/x
  3. Step 3: Cross multiply
    225,657.96x = 338,399.44 × 120,419.52
  4. Step 4: Simplify right side
    225,657.96x = 40,749,898,133.07
  5. Step 5: Solve for x
    x = 40,749,898,133.07/225,657.96
  6. Step 6: Final answer
    x = 180,582.59

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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.