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Finding the Fourth Proportional to 302,082.40, 416,862.50 and 166,108.25

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Solution

The fourth proportional to 302,082.40, 416,862.50 and 166,108.25 is: 229,223.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,082.40 : 416,862.50 = 166,108.25 : x
  2. Step 2: Convert to fraction form
    302,082.40/416,862.50 = 166,108.25/x
  3. Step 3: Cross multiply
    302,082.40x = 416,862.50 × 166,108.25
  4. Step 4: Simplify right side
    302,082.40x = 69,244,301,511.60
  5. Step 5: Solve for x
    x = 69,244,301,511.60/302,082.40
  6. Step 6: Final answer
    x = 229,223.23

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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.