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Finding the Fourth Proportional to 114,109.70, 157,418.38 and 73,836.46

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Solution

The fourth proportional to 114,109.70, 157,418.38 and 73,836.46 is: 101,860.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,109.70 : 157,418.38 = 73,836.46 : x
  2. Step 2: Convert to fraction form
    114,109.70/157,418.38 = 73,836.46/x
  3. Step 3: Cross multiply
    114,109.70x = 157,418.38 × 73,836.46
  4. Step 4: Simplify right side
    114,109.70x = 11,623,215,918.13
  5. Step 5: Solve for x
    x = 11,623,215,918.13/114,109.70
  6. Step 6: Final answer
    x = 101,860.02

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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.