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Finding the Fourth Proportional to 140,624.10, 194,051.52 and 80,197.29

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Solution

The fourth proportional to 140,624.10, 194,051.52 and 80,197.29 is: 110,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,624.10 : 194,051.52 = 80,197.29 : x
  2. Step 2: Convert to fraction form
    140,624.10/194,051.52 = 80,197.29/x
  3. Step 3: Cross multiply
    140,624.10x = 194,051.52 × 80,197.29
  4. Step 4: Simplify right side
    140,624.10x = 15,562,406,024.38
  5. Step 5: Solve for x
    x = 15,562,406,024.38/140,624.10
  6. Step 6: Final answer
    x = 110,666.71

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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.