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Finding the Fourth Proportional to 171,853.84, 257,747.37 and 86,441.94

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Solution

The fourth proportional to 171,853.84, 257,747.37 and 86,441.94 is: 129,646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,853.84 : 257,747.37 = 86,441.94 : x
  2. Step 2: Convert to fraction form
    171,853.84/257,747.37 = 86,441.94/x
  3. Step 3: Cross multiply
    171,853.84x = 257,747.37 × 86,441.94
  4. Step 4: Simplify right side
    171,853.84x = 22,280,182,692.70
  5. Step 5: Solve for x
    x = 22,280,182,692.70/171,853.84
  6. Step 6: Final answer
    x = 129,646.11

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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.