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Finding the Fourth Proportional to 149,668.56, 206,542.71 and 111,460.95

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Solution

The fourth proportional to 149,668.56, 206,542.71 and 111,460.95 is: 153,816.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,668.56 : 206,542.71 = 111,460.95 : x
  2. Step 2: Convert to fraction form
    149,668.56/206,542.71 = 111,460.95/x
  3. Step 3: Cross multiply
    149,668.56x = 206,542.71 × 111,460.95
  4. Step 4: Simplify right side
    149,668.56x = 23,021,446,672.17
  5. Step 5: Solve for x
    x = 23,021,446,672.17/149,668.56
  6. Step 6: Final answer
    x = 153,816.18

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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.