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Finding the Fourth Proportional to 180,694.32, 249,354.86 and 100,121.54

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Solution

The fourth proportional to 180,694.32, 249,354.86 and 100,121.54 is: 138,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,694.32 : 249,354.86 = 100,121.54 : x
  2. Step 2: Convert to fraction form
    180,694.32/249,354.86 = 100,121.54/x
  3. Step 3: Cross multiply
    180,694.32x = 249,354.86 × 100,121.54
  4. Step 4: Simplify right side
    180,694.32x = 24,965,792,589.68
  5. Step 5: Solve for x
    x = 24,965,792,589.68/180,694.32
  6. Step 6: Final answer
    x = 138,165.90

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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.