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Finding the Fourth Proportional to 302,012.54, 416,780 and 164,191.75

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Solution

The fourth proportional to 302,012.54, 416,780 and 164,191.75 is: 226,586.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,012.54 : 416,780 = 164,191.75 : x
  2. Step 2: Convert to fraction form
    302,012.54/416,780 = 164,191.75/x
  3. Step 3: Cross multiply
    302,012.54x = 416,780 × 164,191.75
  4. Step 4: Simplify right side
    302,012.54x = 68,431,837,565
  5. Step 5: Solve for x
    x = 68,431,837,565/302,012.54
  6. Step 6: Final answer
    x = 226,586.08

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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.