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Finding the Fourth Proportional to 225,685.94, 338,561.58 and 120,447.50

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Solution

The fourth proportional to 225,685.94, 338,561.58 and 120,447.50 is: 180,688.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,685.94 : 338,561.58 = 120,447.50 : x
  2. Step 2: Convert to fraction form
    225,685.94/338,561.58 = 120,447.50/x
  3. Step 3: Cross multiply
    225,685.94x = 338,561.58 × 120,447.50
  4. Step 4: Simplify right side
    225,685.94x = 40,778,895,907.05
  5. Step 5: Solve for x
    x = 40,778,895,907.05/225,685.94
  6. Step 6: Final answer
    x = 180,688.69

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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.