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Finding the Fourth Proportional to 220,338.24, 304,066.80 and 119,736

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Solution

The fourth proportional to 220,338.24, 304,066.80 and 119,736 is: 165,235.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,338.24 : 304,066.80 = 119,736 : x
  2. Step 2: Convert to fraction form
    220,338.24/304,066.80 = 119,736/x
  3. Step 3: Cross multiply
    220,338.24x = 304,066.80 × 119,736
  4. Step 4: Simplify right side
    220,338.24x = 36,407,742,364.80
  5. Step 5: Solve for x
    x = 36,407,742,364.80/220,338.24
  6. Step 6: Final answer
    x = 165,235.70

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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.