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Finding the Fourth Proportional to 144,205.64, 199,002.64 and 83,811.63

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Solution

The fourth proportional to 144,205.64, 199,002.64 and 83,811.63 is: 115,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,205.64 : 199,002.64 = 83,811.63 : x
  2. Step 2: Convert to fraction form
    144,205.64/199,002.64 = 83,811.63/x
  3. Step 3: Cross multiply
    144,205.64x = 199,002.64 × 83,811.63
  4. Step 4: Simplify right side
    144,205.64x = 16,678,735,632.70
  5. Step 5: Solve for x
    x = 16,678,735,632.70/144,205.64
  6. Step 6: Final answer
    x = 115,659.38

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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.