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Finding the Fourth Proportional to 149,151.88, 205,783.26 and 84,610.48

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Solution

The fourth proportional to 149,151.88, 205,783.26 and 84,610.48 is: 116,736.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,151.88 : 205,783.26 = 84,610.48 : x
  2. Step 2: Convert to fraction form
    149,151.88/205,783.26 = 84,610.48/x
  3. Step 3: Cross multiply
    149,151.88x = 205,783.26 × 84,610.48
  4. Step 4: Simplify right side
    149,151.88x = 17,411,420,404.56
  5. Step 5: Solve for x
    x = 17,411,420,404.56/149,151.88
  6. Step 6: Final answer
    x = 116,736.18

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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.