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Finding the Fourth Proportional to 233,186.39, 321,768.60 and 147,112.91

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Solution

The fourth proportional to 233,186.39, 321,768.60 and 147,112.91 is: 202,997.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,186.39 : 321,768.60 = 147,112.91 : x
  2. Step 2: Convert to fraction form
    233,186.39/321,768.60 = 147,112.91/x
  3. Step 3: Cross multiply
    233,186.39x = 321,768.60 × 147,112.91
  4. Step 4: Simplify right side
    233,186.39x = 47,336,313,483.78
  5. Step 5: Solve for x
    x = 47,336,313,483.78/233,186.39
  6. Step 6: Final answer
    x = 202,997.76

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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.