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Finding the Fourth Proportional to 302,739.36, 417,775.36 and 166,786.24

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Solution

The fourth proportional to 302,739.36, 417,775.36 and 166,786.24 is: 230,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,739.36 : 417,775.36 = 166,786.24 : x
  2. Step 2: Convert to fraction form
    302,739.36/417,775.36 = 166,786.24/x
  3. Step 3: Cross multiply
    302,739.36x = 417,775.36 × 166,786.24
  4. Step 4: Simplify right side
    302,739.36x = 69,679,181,459.05
  5. Step 5: Solve for x
    x = 69,679,181,459.05/302,739.36
  6. Step 6: Final answer
    x = 230,162.28

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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.