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Finding the Fourth Proportional to 202,051.44, 278,832.96 and 111,410.70

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Solution

The fourth proportional to 202,051.44, 278,832.96 and 111,410.70 is: 153,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,051.44 : 278,832.96 = 111,410.70 : x
  2. Step 2: Convert to fraction form
    202,051.44/278,832.96 = 111,410.70/x
  3. Step 3: Cross multiply
    202,051.44x = 278,832.96 × 111,410.70
  4. Step 4: Simplify right side
    202,051.44x = 31,064,975,256.67
  5. Step 5: Solve for x
    x = 31,064,975,256.67/202,051.44
  6. Step 6: Final answer
    x = 153,747.85

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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.