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Finding the Fourth Proportional to 170,655.98, 255,974.40 and 52,327.00

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Solution

The fourth proportional to 170,655.98, 255,974.40 and 52,327.00 is: 78,487.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,655.98 : 255,974.40 = 52,327.00 : x
  2. Step 2: Convert to fraction form
    170,655.98/255,974.40 = 52,327.00/x
  3. Step 3: Cross multiply
    170,655.98x = 255,974.40 × 52,327.00
  4. Step 4: Simplify right side
    170,655.98x = 13,394,371,148.93
  5. Step 5: Solve for x
    x = 13,394,371,148.93/170,655.98
  6. Step 6: Final answer
    x = 78,487.56

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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.