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Finding the Fourth Proportional to 144,564.75, 199,520.34 and 83,299.02

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Solution

The fourth proportional to 144,564.75, 199,520.34 and 83,299.02 is: 114,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,564.75 : 199,520.34 = 83,299.02 : x
  2. Step 2: Convert to fraction form
    144,564.75/199,520.34 = 83,299.02/x
  3. Step 3: Cross multiply
    144,564.75x = 199,520.34 × 83,299.02
  4. Step 4: Simplify right side
    144,564.75x = 16,619,848,792.07
  5. Step 5: Solve for x
    x = 16,619,848,792.07/144,564.75
  6. Step 6: Final answer
    x = 114,964.74

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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.