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Finding the Fourth Proportional to 114,109.73, 157,418.40 and 73,836.49

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Solution

The fourth proportional to 114,109.73, 157,418.40 and 73,836.49 is: 101,860.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,109.73 : 157,418.40 = 73,836.49 : x
  2. Step 2: Convert to fraction form
    114,109.73/157,418.40 = 73,836.49/x
  3. Step 3: Cross multiply
    114,109.73x = 157,418.40 × 73,836.49
  4. Step 4: Simplify right side
    114,109.73x = 11,623,222,117.42
  5. Step 5: Solve for x
    x = 11,623,222,117.42/114,109.73
  6. Step 6: Final answer
    x = 101,860.04

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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.