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Finding the Fourth Proportional to 165,025.50, 227,735.46 and 89,574

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Solution

The fourth proportional to 165,025.50, 227,735.46 and 89,574 is: 123,612.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,025.50 : 227,735.46 = 89,574 : x
  2. Step 2: Convert to fraction form
    165,025.50/227,735.46 = 89,574/x
  3. Step 3: Cross multiply
    165,025.50x = 227,735.46 × 89,574
  4. Step 4: Simplify right side
    165,025.50x = 20,399,176,094.04
  5. Step 5: Solve for x
    x = 20,399,176,094.04/165,025.50
  6. Step 6: Final answer
    x = 123,612.27

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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.