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Finding the Fourth Proportional to 180,422.94, 248,980.23 and 99,850.52

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Solution

The fourth proportional to 180,422.94, 248,980.23 and 99,850.52 is: 137,791.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,422.94 : 248,980.23 = 99,850.52 : x
  2. Step 2: Convert to fraction form
    180,422.94/248,980.23 = 99,850.52/x
  3. Step 3: Cross multiply
    180,422.94x = 248,980.23 × 99,850.52
  4. Step 4: Simplify right side
    180,422.94x = 24,860,806,057.67
  5. Step 5: Solve for x
    x = 24,860,806,057.67/180,422.94
  6. Step 6: Final answer
    x = 137,791.82

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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.