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Finding the Fourth Proportional to 144,186.02, 198,947.84 and 80,514.02

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Solution

The fourth proportional to 144,186.02, 198,947.84 and 80,514.02 is: 111,093.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,186.02 : 198,947.84 = 80,514.02 : x
  2. Step 2: Convert to fraction form
    144,186.02/198,947.84 = 80,514.02/x
  3. Step 3: Cross multiply
    144,186.02x = 198,947.84 × 80,514.02
  4. Step 4: Simplify right side
    144,186.02x = 16,018,090,368.72
  5. Step 5: Solve for x
    x = 16,018,090,368.72/144,186.02
  6. Step 6: Final answer
    x = 111,093.23

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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.