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Finding the Fourth Proportional to 220,676.96, 304,535.76 and 120,077.12

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Solution

The fourth proportional to 220,676.96, 304,535.76 and 120,077.12 is: 165,707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,676.96 : 304,535.76 = 120,077.12 : x
  2. Step 2: Convert to fraction form
    220,676.96/304,535.76 = 120,077.12/x
  3. Step 3: Cross multiply
    220,676.96x = 304,535.76 × 120,077.12
  4. Step 4: Simplify right side
    220,676.96x = 36,567,776,997.81
  5. Step 5: Solve for x
    x = 36,567,776,997.81/220,676.96
  6. Step 6: Final answer
    x = 165,707.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.