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Finding the Fourth Proportional to 289,147.44, 433,869.40 and 139,515.32

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Solution

The fourth proportional to 289,147.44, 433,869.40 and 139,515.32 is: 209,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,147.44 : 433,869.40 = 139,515.32 : x
  2. Step 2: Convert to fraction form
    289,147.44/433,869.40 = 139,515.32/x
  3. Step 3: Cross multiply
    289,147.44x = 433,869.40 × 139,515.32
  4. Step 4: Simplify right side
    289,147.44x = 60,531,428,179.21
  5. Step 5: Solve for x
    x = 60,531,428,179.21/289,147.44
  6. Step 6: Final answer
    x = 209,344.51

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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.