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Finding the Fourth Proportional to 186,752.88, 257,708.61 and 106,169.22

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Solution

The fourth proportional to 186,752.88, 257,708.61 and 106,169.22 is: 146,507.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,752.88 : 257,708.61 = 106,169.22 : x
  2. Step 2: Convert to fraction form
    186,752.88/257,708.61 = 106,169.22/x
  3. Step 3: Cross multiply
    186,752.88x = 257,708.61 × 106,169.22
  4. Step 4: Simplify right side
    186,752.88x = 27,360,722,110.98
  5. Step 5: Solve for x
    x = 27,360,722,110.98/186,752.88
  6. Step 6: Final answer
    x = 146,507.63

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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.