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Finding the Fourth Proportional to 223,086.96, 307,845.36 and 132,438.24

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Solution

The fourth proportional to 223,086.96, 307,845.36 and 132,438.24 is: 182,756.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,086.96 : 307,845.36 = 132,438.24 : x
  2. Step 2: Convert to fraction form
    223,086.96/307,845.36 = 132,438.24/x
  3. Step 3: Cross multiply
    223,086.96x = 307,845.36 × 132,438.24
  4. Step 4: Simplify right side
    223,086.96x = 40,770,497,670.57
  5. Step 5: Solve for x
    x = 40,770,497,670.57/223,086.96
  6. Step 6: Final answer
    x = 182,756.08

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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.