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Finding the Fourth Proportional to 180,392.41, 248,941.97 and 99,825.45

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Solution

The fourth proportional to 180,392.41, 248,941.97 and 99,825.45 is: 137,759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,392.41 : 248,941.97 = 99,825.45 : x
  2. Step 2: Convert to fraction form
    180,392.41/248,941.97 = 99,825.45/x
  3. Step 3: Cross multiply
    180,392.41x = 248,941.97 × 99,825.45
  4. Step 4: Simplify right side
    180,392.41x = 24,850,744,179.14
  5. Step 5: Solve for x
    x = 24,850,744,179.14/180,392.41
  6. Step 6: Final answer
    x = 137,759.37

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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.