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Finding the Fourth Proportional to 171,638.07, 257,510.87 and 76,947.66

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Solution

The fourth proportional to 171,638.07, 257,510.87 and 76,947.66 is: 115,445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,638.07 : 257,510.87 = 76,947.66 : x
  2. Step 2: Convert to fraction form
    171,638.07/257,510.87 = 76,947.66/x
  3. Step 3: Cross multiply
    171,638.07x = 257,510.87 × 76,947.66
  4. Step 4: Simplify right side
    171,638.07x = 19,814,858,486.33
  5. Step 5: Solve for x
    x = 19,814,858,486.33/171,638.07
  6. Step 6: Final answer
    x = 115,445.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.