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Finding the Fourth Proportional to 302,102.13, 416,892.63 and 166,136.08

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Solution

The fourth proportional to 302,102.13, 416,892.63 and 166,136.08 is: 229,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,102.13 : 416,892.63 = 166,136.08 : x
  2. Step 2: Convert to fraction form
    302,102.13/416,892.63 = 166,136.08/x
  3. Step 3: Cross multiply
    302,102.13x = 416,892.63 × 166,136.08
  4. Step 4: Simplify right side
    302,102.13x = 69,260,907,329.09
  5. Step 5: Solve for x
    x = 69,260,907,329.09/302,102.13
  6. Step 6: Final answer
    x = 229,263.22

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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.