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Finding the Fourth Proportional to 149,668.81, 206,578.41 and 86,043.58

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Solution

The fourth proportional to 149,668.81, 206,578.41 and 86,043.58 is: 118,760.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,668.81 : 206,578.41 = 86,043.58 : x
  2. Step 2: Convert to fraction form
    149,668.81/206,578.41 = 86,043.58/x
  3. Step 3: Cross multiply
    149,668.81x = 206,578.41 × 86,043.58
  4. Step 4: Simplify right side
    149,668.81x = 17,774,745,947.11
  5. Step 5: Solve for x
    x = 17,774,745,947.11/149,668.81
  6. Step 6: Final answer
    x = 118,760.52

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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.