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Finding the Fourth Proportional to 302,101.80, 416,911.19 and 166,146.27

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Solution

The fourth proportional to 302,101.80, 416,911.19 and 166,146.27 is: 229,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,101.80 : 416,911.19 = 166,146.27 : x
  2. Step 2: Convert to fraction form
    302,101.80/416,911.19 = 166,146.27/x
  3. Step 3: Cross multiply
    302,101.80x = 416,911.19 × 166,146.27
  4. Step 4: Simplify right side
    302,101.80x = 69,268,239,090.74
  5. Step 5: Solve for x
    x = 69,268,239,090.74/302,101.80
  6. Step 6: Final answer
    x = 229,287.74

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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.