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Finding the Fourth Proportional to 218,692.32, 301,796.48 and 123,200.52

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Solution

The fourth proportional to 218,692.32, 301,796.48 and 123,200.52 is: 170,017.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,692.32 : 301,796.48 = 123,200.52 : x
  2. Step 2: Convert to fraction form
    218,692.32/301,796.48 = 123,200.52/x
  3. Step 3: Cross multiply
    218,692.32x = 301,796.48 × 123,200.52
  4. Step 4: Simplify right side
    218,692.32x = 37,181,483,270.17
  5. Step 5: Solve for x
    x = 37,181,483,270.17/218,692.32
  6. Step 6: Final answer
    x = 170,017.33

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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.