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Finding the Fourth Proportional to 180,585.45, 249,249.39 and 120,158.64

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Solution

The fourth proportional to 180,585.45, 249,249.39 and 120,158.64 is: 165,846.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,585.45 : 249,249.39 = 120,158.64 : x
  2. Step 2: Convert to fraction form
    180,585.45/249,249.39 = 120,158.64/x
  3. Step 3: Cross multiply
    180,585.45x = 249,249.39 × 120,158.64
  4. Step 4: Simplify right side
    180,585.45x = 29,949,467,723.23
  5. Step 5: Solve for x
    x = 29,949,467,723.23/180,585.45
  6. Step 6: Final answer
    x = 165,846.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.