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Finding the Fourth Proportional to 302,256.99, 417,114.67 and 166,288.03

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Solution

The fourth proportional to 302,256.99, 417,114.67 and 166,288.03 is: 229,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,256.99 : 417,114.67 = 166,288.03 : x
  2. Step 2: Convert to fraction form
    302,256.99/417,114.67 = 166,288.03/x
  3. Step 3: Cross multiply
    302,256.99x = 417,114.67 × 166,288.03
  4. Step 4: Simplify right side
    302,256.99x = 69,361,176,758.40
  5. Step 5: Solve for x
    x = 69,361,176,758.40/302,256.99
  6. Step 6: Final answer
    x = 229,477.49

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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.