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Finding the Fourth Proportional to 116,692.80, 175,250.40 and 102,177.60

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Solution

The fourth proportional to 116,692.80, 175,250.40 and 102,177.60 is: 153,451.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,692.80 : 175,250.40 = 102,177.60 : x
  2. Step 2: Convert to fraction form
    116,692.80/175,250.40 = 102,177.60/x
  3. Step 3: Cross multiply
    116,692.80x = 175,250.40 × 102,177.60
  4. Step 4: Simplify right side
    116,692.80x = 17,906,665,271.04
  5. Step 5: Solve for x
    x = 17,906,665,271.04/116,692.80
  6. Step 6: Final answer
    x = 153,451.33

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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.