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Finding the Fourth Proportional to 302,130.55, 416,946.83 and 166,171.39

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Solution

The fourth proportional to 302,130.55, 416,946.83 and 166,171.39 is: 229,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,130.55 : 416,946.83 = 166,171.39 : x
  2. Step 2: Convert to fraction form
    302,130.55/416,946.83 = 166,171.39/x
  3. Step 3: Cross multiply
    302,130.55x = 416,946.83 × 166,171.39
  4. Step 4: Simplify right side
    302,130.55x = 69,284,634,297.19
  5. Step 5: Solve for x
    x = 69,284,634,297.19/302,130.55
  6. Step 6: Final answer
    x = 229,320.19

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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.