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Finding the Fourth Proportional to 180,155.96, 248,449.90 and 108,411.48

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Solution

The fourth proportional to 180,155.96, 248,449.90 and 108,411.48 is: 149,508.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,155.96 : 248,449.90 = 108,411.48 : x
  2. Step 2: Convert to fraction form
    180,155.96/248,449.90 = 108,411.48/x
  3. Step 3: Cross multiply
    180,155.96x = 248,449.90 × 108,411.48
  4. Step 4: Simplify right side
    180,155.96x = 26,934,821,364.85
  5. Step 5: Solve for x
    x = 26,934,821,364.85/180,155.96
  6. Step 6: Final answer
    x = 149,508.36

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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.