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Finding the Fourth Proportional to 195,203.56, 269,381.22 and 105,779.56

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Solution

The fourth proportional to 195,203.56, 269,381.22 and 105,779.56 is: 145,975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,203.56 : 269,381.22 = 105,779.56 : x
  2. Step 2: Convert to fraction form
    195,203.56/269,381.22 = 105,779.56/x
  3. Step 3: Cross multiply
    195,203.56x = 269,381.22 × 105,779.56
  4. Step 4: Simplify right side
    195,203.56x = 28,495,026,923.86
  5. Step 5: Solve for x
    x = 28,495,026,923.86/195,203.56
  6. Step 6: Final answer
    x = 145,975.96

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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.