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Finding the Fourth Proportional to 186,698.72, 257,568.96 and 108,064.96

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Solution

The fourth proportional to 186,698.72, 257,568.96 and 108,064.96 is: 149,086.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,698.72 : 257,568.96 = 108,064.96 : x
  2. Step 2: Convert to fraction form
    186,698.72/257,568.96 = 108,064.96/x
  3. Step 3: Cross multiply
    186,698.72x = 257,568.96 × 108,064.96
  4. Step 4: Simplify right side
    186,698.72x = 27,834,179,359.64
  5. Step 5: Solve for x
    x = 27,834,179,359.64/186,698.72
  6. Step 6: Final answer
    x = 149,086.07

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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.