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Finding the Fourth Proportional to 203,692.65, 305,556.75 and 83,756.90

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Solution

The fourth proportional to 203,692.65, 305,556.75 and 83,756.90 is: 125,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,692.65 : 305,556.75 = 83,756.90 : x
  2. Step 2: Convert to fraction form
    203,692.65/305,556.75 = 83,756.90/x
  3. Step 3: Cross multiply
    203,692.65x = 305,556.75 × 83,756.90
  4. Step 4: Simplify right side
    203,692.65x = 25,592,486,154.08
  5. Step 5: Solve for x
    x = 25,592,486,154.08/203,692.65
  6. Step 6: Final answer
    x = 125,642.66

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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.