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Finding the Fourth Proportional to 144,991.62, 200,047.32 and 84,564.90

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Solution

The fourth proportional to 144,991.62, 200,047.32 and 84,564.90 is: 116,675.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,991.62 : 200,047.32 = 84,564.90 : x
  2. Step 2: Convert to fraction form
    144,991.62/200,047.32 = 84,564.90/x
  3. Step 3: Cross multiply
    144,991.62x = 200,047.32 × 84,564.90
  4. Step 4: Simplify right side
    144,991.62x = 16,916,981,611.07
  5. Step 5: Solve for x
    x = 16,916,981,611.07/144,991.62
  6. Step 6: Final answer
    x = 116,675.58

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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.