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Finding the Fourth Proportional to 144,176.96, 198,967.19 and 80,514.81

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Solution

The fourth proportional to 144,176.96, 198,967.19 and 80,514.81 is: 111,112.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,176.96 : 198,967.19 = 80,514.81 : x
  2. Step 2: Convert to fraction form
    144,176.96/198,967.19 = 80,514.81/x
  3. Step 3: Cross multiply
    144,176.96x = 198,967.19 × 80,514.81
  4. Step 4: Simplify right side
    144,176.96x = 16,019,805,096.51
  5. Step 5: Solve for x
    x = 16,019,805,096.51/144,176.96
  6. Step 6: Final answer
    x = 111,112.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.