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Finding the Fourth Proportional to 144,097.96, 198,854.41 and 83,683.44

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Solution

The fourth proportional to 144,097.96, 198,854.41 and 83,683.44 is: 115,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,097.96 : 198,854.41 = 83,683.44 : x
  2. Step 2: Convert to fraction form
    144,097.96/198,854.41 = 83,683.44/x
  3. Step 3: Cross multiply
    144,097.96x = 198,854.41 × 83,683.44
  4. Step 4: Simplify right side
    144,097.96x = 16,640,821,087.97
  5. Step 5: Solve for x
    x = 16,640,821,087.97/144,097.96
  6. Step 6: Final answer
    x = 115,482.70

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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.