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Finding the Fourth Proportional to 381,176.69, 571,769.46 and 114,939.50

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Solution

The fourth proportional to 381,176.69, 571,769.46 and 114,939.50 is: 172,410.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,176.69 : 571,769.46 = 114,939.50 : x
  2. Step 2: Convert to fraction form
    381,176.69/571,769.46 = 114,939.50/x
  3. Step 3: Cross multiply
    381,176.69x = 571,769.46 × 114,939.50
  4. Step 4: Simplify right side
    381,176.69x = 65,718,892,988.82
  5. Step 5: Solve for x
    x = 65,718,892,988.82/381,176.69
  6. Step 6: Final answer
    x = 172,410.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.