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Finding the Fourth Proportional to 186,753.38, 257,716.62 and 106,179.17

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Solution

The fourth proportional to 186,753.38, 257,716.62 and 106,179.17 is: 146,525.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,753.38 : 257,716.62 = 106,179.17 : x
  2. Step 2: Convert to fraction form
    186,753.38/257,716.62 = 106,179.17/x
  3. Step 3: Cross multiply
    186,753.38x = 257,716.62 × 106,179.17
  4. Step 4: Simplify right side
    186,753.38x = 27,364,136,967.88
  5. Step 5: Solve for x
    x = 27,364,136,967.88/186,753.38
  6. Step 6: Final answer
    x = 146,525.52

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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.