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Finding the Fourth Proportional to 302,111.19, 416,905.05 and 166,145.09

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Solution

The fourth proportional to 302,111.19, 416,905.05 and 166,145.09 is: 229,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,111.19 : 416,905.05 = 166,145.09 : x
  2. Step 2: Convert to fraction form
    302,111.19/416,905.05 = 166,145.09/x
  3. Step 3: Cross multiply
    302,111.19x = 416,905.05 × 166,145.09
  4. Step 4: Simplify right side
    302,111.19x = 69,266,724,969.18
  5. Step 5: Solve for x
    x = 69,266,724,969.18/302,111.19
  6. Step 6: Final answer
    x = 229,275.60

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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.