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Finding the Fourth Proportional to 164,692.80, 227,276.88 and 89,241.30

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Solution

The fourth proportional to 164,692.80, 227,276.88 and 89,241.30 is: 123,153.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,692.80 : 227,276.88 = 89,241.30 : x
  2. Step 2: Convert to fraction form
    164,692.80/227,276.88 = 89,241.30/x
  3. Step 3: Cross multiply
    164,692.80x = 227,276.88 × 89,241.30
  4. Step 4: Simplify right side
    164,692.80x = 20,282,484,231.14
  5. Step 5: Solve for x
    x = 20,282,484,231.14/164,692.80
  6. Step 6: Final answer
    x = 123,153.44

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1.5x scale

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.