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Finding the Fourth Proportional to 180,441.64, 248,992.60 and 107,830.13

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Solution

The fourth proportional to 180,441.64, 248,992.60 and 107,830.13 is: 148,795.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,441.64 : 248,992.60 = 107,830.13 : x
  2. Step 2: Convert to fraction form
    180,441.64/248,992.60 = 107,830.13/x
  3. Step 3: Cross multiply
    180,441.64x = 248,992.60 × 107,830.13
  4. Step 4: Simplify right side
    180,441.64x = 26,848,902,642.92
  5. Step 5: Solve for x
    x = 26,848,902,642.92/180,441.64
  6. Step 6: Final answer
    x = 148,795.49

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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.