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Finding the Fourth Proportional to 144,193.70, 198,967.65 and 80,523.38

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Solution

The fourth proportional to 144,193.70, 198,967.65 and 80,523.38 is: 111,111.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,193.70 : 198,967.65 = 80,523.38 : x
  2. Step 2: Convert to fraction form
    144,193.70/198,967.65 = 80,523.38/x
  3. Step 3: Cross multiply
    144,193.70x = 198,967.65 × 80,523.38
  4. Step 4: Simplify right side
    144,193.70x = 16,021,547,688.66
  5. Step 5: Solve for x
    x = 16,021,547,688.66/144,193.70
  6. Step 6: Final answer
    x = 111,111.29

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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.