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Finding the Fourth Proportional to 133,346.12, 198,842.86 and 132,146

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Solution

The fourth proportional to 133,346.12, 198,842.86 and 132,146 is: 197,053.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,346.12 : 198,842.86 = 132,146 : x
  2. Step 2: Convert to fraction form
    133,346.12/198,842.86 = 132,146/x
  3. Step 3: Cross multiply
    133,346.12x = 198,842.86 × 132,146
  4. Step 4: Simplify right side
    133,346.12x = 26,276,288,577.56
  5. Step 5: Solve for x
    x = 26,276,288,577.56/133,346.12
  6. Step 6: Final answer
    x = 197,053.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.