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Finding the Fourth Proportional to 180,153.96, 248,447.14 and 108,409.48

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Solution

The fourth proportional to 180,153.96, 248,447.14 and 108,409.48 is: 149,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,153.96 : 248,447.14 = 108,409.48 : x
  2. Step 2: Convert to fraction form
    180,153.96/248,447.14 = 108,409.48/x
  3. Step 3: Cross multiply
    180,153.96x = 248,447.14 × 108,409.48
  4. Step 4: Simplify right side
    180,153.96x = 26,934,025,254.89
  5. Step 5: Solve for x
    x = 26,934,025,254.89/180,153.96
  6. Step 6: Final answer
    x = 149,505.60

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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.