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Finding the Fourth Proportional to 302,190.50, 417,032.05 and 166,217.46

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Solution

The fourth proportional to 302,190.50, 417,032.05 and 166,217.46 is: 229,385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,190.50 : 417,032.05 = 166,217.46 : x
  2. Step 2: Convert to fraction form
    302,190.50/417,032.05 = 166,217.46/x
  3. Step 3: Cross multiply
    302,190.50x = 417,032.05 × 166,217.46
  4. Step 4: Simplify right side
    302,190.50x = 69,318,008,089.59
  5. Step 5: Solve for x
    x = 69,318,008,089.59/302,190.50
  6. Step 6: Final answer
    x = 229,385.13

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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.