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Finding the Fourth Proportional to 223,984.80, 335,847.60 and 83,757.60

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Solution

The fourth proportional to 223,984.80, 335,847.60 and 83,757.60 is: 125,587.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,984.80 : 335,847.60 = 83,757.60 : x
  2. Step 2: Convert to fraction form
    223,984.80/335,847.60 = 83,757.60/x
  3. Step 3: Cross multiply
    223,984.80x = 335,847.60 × 83,757.60
  4. Step 4: Simplify right side
    223,984.80x = 28,129,788,941.76
  5. Step 5: Solve for x
    x = 28,129,788,941.76/223,984.80
  6. Step 6: Final answer
    x = 125,587.94

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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.