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Finding the Fourth Proportional to 186,561.25, 257,438.23 and 103,759.38

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Solution

The fourth proportional to 186,561.25, 257,438.23 and 103,759.38 is: 143,178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,561.25 : 257,438.23 = 103,759.38 : x
  2. Step 2: Convert to fraction form
    186,561.25/257,438.23 = 103,759.38/x
  3. Step 3: Cross multiply
    186,561.25x = 257,438.23 × 103,759.38
  4. Step 4: Simplify right side
    186,561.25x = 26,711,629,845.91
  5. Step 5: Solve for x
    x = 26,711,629,845.91/186,561.25
  6. Step 6: Final answer
    x = 143,178.88

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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.