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Finding the Fourth Proportional to 234,993.64, 324,297.12 and 127,563.70

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Solution

The fourth proportional to 234,993.64, 324,297.12 and 127,563.70 is: 176,041.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,993.64 : 324,297.12 = 127,563.70 : x
  2. Step 2: Convert to fraction form
    234,993.64/324,297.12 = 127,563.70/x
  3. Step 3: Cross multiply
    234,993.64x = 324,297.12 × 127,563.70
  4. Step 4: Simplify right side
    234,993.64x = 41,368,540,526.54
  5. Step 5: Solve for x
    x = 41,368,540,526.54/234,993.64
  6. Step 6: Final answer
    x = 176,041.11

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Why These Related Problems?

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