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Finding the Fourth Proportional to 186,367.72, 257,211.32 and 105,821.88

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Solution

The fourth proportional to 186,367.72, 257,211.32 and 105,821.88 is: 146,047.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,367.72 : 257,211.32 = 105,821.88 : x
  2. Step 2: Convert to fraction form
    186,367.72/257,211.32 = 105,821.88/x
  3. Step 3: Cross multiply
    186,367.72x = 257,211.32 × 105,821.88
  4. Step 4: Simplify right side
    186,367.72x = 27,218,585,439.68
  5. Step 5: Solve for x
    x = 27,218,585,439.68/186,367.72
  6. Step 6: Final answer
    x = 146,047.75

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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.