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Finding the Fourth Proportional to 144,096.38, 198,895.23 and 83,694.18

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Solution

The fourth proportional to 144,096.38, 198,895.23 and 83,694.18 is: 115,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,096.38 : 198,895.23 = 83,694.18 : x
  2. Step 2: Convert to fraction form
    144,096.38/198,895.23 = 83,694.18/x
  3. Step 3: Cross multiply
    144,096.38x = 198,895.23 × 83,694.18
  4. Step 4: Simplify right side
    144,096.38x = 16,646,373,180.76
  5. Step 5: Solve for x
    x = 16,646,373,180.76/144,096.38
  6. Step 6: Final answer
    x = 115,522.50

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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.