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Finding the Fourth Proportional to 302,167, 416,999.64 and 166,193.92

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Solution

The fourth proportional to 302,167, 416,999.64 and 166,193.92 is: 229,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,167 : 416,999.64 = 166,193.92 : x
  2. Step 2: Convert to fraction form
    302,167/416,999.64 = 166,193.92/x
  3. Step 3: Cross multiply
    302,167x = 416,999.64 × 166,193.92
  4. Step 4: Simplify right side
    302,167x = 69,302,804,810.19
  5. Step 5: Solve for x
    x = 69,302,804,810.19/302,167
  6. Step 6: Final answer
    x = 229,352.66

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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.