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Finding the Fourth Proportional to 186,507.96, 279,763.85 and 149,304.57

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Solution

The fourth proportional to 186,507.96, 279,763.85 and 149,304.57 is: 223,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,507.96 : 279,763.85 = 149,304.57 : x
  2. Step 2: Convert to fraction form
    186,507.96/279,763.85 = 149,304.57/x
  3. Step 3: Cross multiply
    186,507.96x = 279,763.85 × 149,304.57
  4. Step 4: Simplify right side
    186,507.96x = 41,770,021,325.79
  5. Step 5: Solve for x
    x = 41,770,021,325.79/186,507.96
  6. Step 6: Final answer
    x = 223,958.38

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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.