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Finding the Fourth Proportional to 214,076.16, 295,399.44 and 123,462

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Solution

The fourth proportional to 214,076.16, 295,399.44 and 123,462 is: 170,362.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,076.16 : 295,399.44 = 123,462 : x
  2. Step 2: Convert to fraction form
    214,076.16/295,399.44 = 123,462/x
  3. Step 3: Cross multiply
    214,076.16x = 295,399.44 × 123,462
  4. Step 4: Simplify right side
    214,076.16x = 36,470,605,661.28
  5. Step 5: Solve for x
    x = 36,470,605,661.28/214,076.16
  6. Step 6: Final answer
    x = 170,362.76

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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.