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Finding the Fourth Proportional to 232,074.16, 320,238.26 and 136,575.16

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Solution

The fourth proportional to 232,074.16, 320,238.26 and 136,575.16 is: 188,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,074.16 : 320,238.26 = 136,575.16 : x
  2. Step 2: Convert to fraction form
    232,074.16/320,238.26 = 136,575.16/x
  3. Step 3: Cross multiply
    232,074.16x = 320,238.26 × 136,575.16
  4. Step 4: Simplify right side
    232,074.16x = 43,736,591,597.62
  5. Step 5: Solve for x
    x = 43,736,591,597.62/232,074.16
  6. Step 6: Final answer
    x = 188,459.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.