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Finding the Fourth Proportional to 302,125.60, 416,938.10 and 166,165.48

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Solution

The fourth proportional to 302,125.60, 416,938.10 and 166,165.48 is: 229,310.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,125.60 : 416,938.10 = 166,165.48 : x
  2. Step 2: Convert to fraction form
    302,125.60/416,938.10 = 166,165.48/x
  3. Step 3: Cross multiply
    302,125.60x = 416,938.10 × 166,165.48
  4. Step 4: Simplify right side
    302,125.60x = 69,280,719,516.79
  5. Step 5: Solve for x
    x = 69,280,719,516.79/302,125.60
  6. Step 6: Final answer
    x = 229,310.99

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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.