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Finding the Fourth Proportional to 165,026, 227,736.16 and 89,574.50

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Solution

The fourth proportional to 165,026, 227,736.16 and 89,574.50 is: 123,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,026 : 227,736.16 = 89,574.50 : x
  2. Step 2: Convert to fraction form
    165,026/227,736.16 = 89,574.50/x
  3. Step 3: Cross multiply
    165,026x = 227,736.16 × 89,574.50
  4. Step 4: Simplify right side
    165,026x = 20,399,352,663.92
  5. Step 5: Solve for x
    x = 20,399,352,663.92/165,026
  6. Step 6: Final answer
    x = 123,612.96

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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.