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Finding the Fourth Proportional to 180,201.12, 248,656.05 and 99,617.82

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Solution

The fourth proportional to 180,201.12, 248,656.05 and 99,617.82 is: 137,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,201.12 : 248,656.05 = 99,617.82 : x
  2. Step 2: Convert to fraction form
    180,201.12/248,656.05 = 99,617.82/x
  3. Step 3: Cross multiply
    180,201.12x = 248,656.05 × 99,617.82
  4. Step 4: Simplify right side
    180,201.12x = 24,770,573,630.81
  5. Step 5: Solve for x
    x = 24,770,573,630.81/180,201.12
  6. Step 6: Final answer
    x = 137,460.71

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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.