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Finding the Fourth Proportional to 223,202.64, 307,971.72 and 132,589.16

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Solution

The fourth proportional to 223,202.64, 307,971.72 and 132,589.16 is: 182,944.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,202.64 : 307,971.72 = 132,589.16 : x
  2. Step 2: Convert to fraction form
    223,202.64/307,971.72 = 132,589.16/x
  3. Step 3: Cross multiply
    223,202.64x = 307,971.72 × 132,589.16
  4. Step 4: Simplify right side
    223,202.64x = 40,833,711,658.56
  5. Step 5: Solve for x
    x = 40,833,711,658.56/223,202.64
  6. Step 6: Final answer
    x = 182,944.57

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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.