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Finding the Fourth Proportional to 144,098.96, 198,855.79 and 83,684.44

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Solution

The fourth proportional to 144,098.96, 198,855.79 and 83,684.44 is: 115,484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,098.96 : 198,855.79 = 83,684.44 : x
  2. Step 2: Convert to fraction form
    144,098.96/198,855.79 = 83,684.44/x
  3. Step 3: Cross multiply
    144,098.96x = 198,855.79 × 83,684.44
  4. Step 4: Simplify right side
    144,098.96x = 16,641,135,426.91
  5. Step 5: Solve for x
    x = 16,641,135,426.91/144,098.96
  6. Step 6: Final answer
    x = 115,484.08

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1.5x scale

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.