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Finding the Fourth Proportional to 186,761.88, 257,720.90 and 106,178.04

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Solution

The fourth proportional to 186,761.88, 257,720.90 and 106,178.04 is: 146,519.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,761.88 : 257,720.90 = 106,178.04 : x
  2. Step 2: Convert to fraction form
    186,761.88/257,720.90 = 106,178.04/x
  3. Step 3: Cross multiply
    186,761.88x = 257,720.90 × 106,178.04
  4. Step 4: Simplify right side
    186,761.88x = 27,364,300,029.04
  5. Step 5: Solve for x
    x = 27,364,300,029.04/186,761.88
  6. Step 6: Final answer
    x = 146,519.73

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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.