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Finding the Fourth Proportional to 171,804, 257,743.04 and 51,850.92

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Solution

The fourth proportional to 171,804, 257,743.04 and 51,850.92 is: 77,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,804 : 257,743.04 = 51,850.92 : x
  2. Step 2: Convert to fraction form
    171,804/257,743.04 = 51,850.92/x
  3. Step 3: Cross multiply
    171,804x = 257,743.04 × 51,850.92
  4. Step 4: Simplify right side
    171,804x = 13,364,213,747.60
  5. Step 5: Solve for x
    x = 13,364,213,747.60/171,804
  6. Step 6: Final answer
    x = 77,787.56

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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.