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Finding the Fourth Proportional to 220,828, 304,749.12 and 120,232.48

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Solution

The fourth proportional to 220,828, 304,749.12 and 120,232.48 is: 165,924.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,828 : 304,749.12 = 120,232.48 : x
  2. Step 2: Convert to fraction form
    220,828/304,749.12 = 120,232.48/x
  3. Step 3: Cross multiply
    220,828x = 304,749.12 × 120,232.48
  4. Step 4: Simplify right side
    220,828x = 36,640,742,475.42
  5. Step 5: Solve for x
    x = 36,640,742,475.42/220,828
  6. Step 6: Final answer
    x = 165,924.35

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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.