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Finding the Fourth Proportional to 180,409.36, 248,961.18 and 99,832.05

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Solution

The fourth proportional to 180,409.36, 248,961.18 and 99,832.05 is: 137,766.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,409.36 : 248,961.18 = 99,832.05 : x
  2. Step 2: Convert to fraction form
    180,409.36/248,961.18 = 99,832.05/x
  3. Step 3: Cross multiply
    180,409.36x = 248,961.18 × 99,832.05
  4. Step 4: Simplify right side
    180,409.36x = 24,854,304,969.82
  5. Step 5: Solve for x
    x = 24,854,304,969.82/180,409.36
  6. Step 6: Final answer
    x = 137,766.16

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Why These Related Problems?

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