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Finding the Fourth Proportional to 164,692.50, 227,275.92 and 89,241

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Solution

The fourth proportional to 164,692.50, 227,275.92 and 89,241 is: 123,152.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,692.50 : 227,275.92 = 89,241 : x
  2. Step 2: Convert to fraction form
    164,692.50/227,275.92 = 89,241/x
  3. Step 3: Cross multiply
    164,692.50x = 227,275.92 × 89,241
  4. Step 4: Simplify right side
    164,692.50x = 20,282,330,376.72
  5. Step 5: Solve for x
    x = 20,282,330,376.72/164,692.50
  6. Step 6: Final answer
    x = 123,152.73

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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.