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Finding the Fourth Proportional to 186,825.84, 257,825.88 and 101,947.56

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Solution

The fourth proportional to 186,825.84, 257,825.88 and 101,947.56 is: 140,691.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,825.84 : 257,825.88 = 101,947.56 : x
  2. Step 2: Convert to fraction form
    186,825.84/257,825.88 = 101,947.56/x
  3. Step 3: Cross multiply
    186,825.84x = 257,825.88 × 101,947.56
  4. Step 4: Simplify right side
    186,825.84x = 26,284,719,370.85
  5. Step 5: Solve for x
    x = 26,284,719,370.85/186,825.84
  6. Step 6: Final answer
    x = 140,691.03

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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.