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Finding the Fourth Proportional to 302,205.68, 417,051.62 and 166,243.12

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Solution

The fourth proportional to 302,205.68, 417,051.62 and 166,243.12 is: 229,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,205.68 : 417,051.62 = 166,243.12 : x
  2. Step 2: Convert to fraction form
    302,205.68/417,051.62 = 166,243.12/x
  3. Step 3: Cross multiply
    302,205.68x = 417,051.62 × 166,243.12
  4. Step 4: Simplify right side
    302,205.68x = 69,331,962,509.85
  5. Step 5: Solve for x
    x = 69,331,962,509.85/302,205.68
  6. Step 6: Final answer
    x = 229,419.79

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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.