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Finding the Fourth Proportional to 180,394.64, 248,944.64 and 99,822.48

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Solution

The fourth proportional to 180,394.64, 248,944.64 and 99,822.48 is: 137,755.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,394.64 : 248,944.64 = 99,822.48 : x
  2. Step 2: Convert to fraction form
    180,394.64/248,944.64 = 99,822.48/x
  3. Step 3: Cross multiply
    180,394.64x = 248,944.64 × 99,822.48
  4. Step 4: Simplify right side
    180,394.64x = 24,850,270,476.35
  5. Step 5: Solve for x
    x = 24,850,270,476.35/180,394.64
  6. Step 6: Final answer
    x = 137,755.03

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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.