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Finding the Fourth Proportional to 109,180.90, 150,668.67 and 61,433.29

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Solution

The fourth proportional to 109,180.90, 150,668.67 and 61,433.29 is: 84,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,180.90 : 150,668.67 = 61,433.29 : x
  2. Step 2: Convert to fraction form
    109,180.90/150,668.67 = 61,433.29/x
  3. Step 3: Cross multiply
    109,180.90x = 150,668.67 × 61,433.29
  4. Step 4: Simplify right side
    109,180.90x = 9,256,072,098.02
  5. Step 5: Solve for x
    x = 9,256,072,098.02/109,180.90
  6. Step 6: Final answer
    x = 84,777.39

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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.