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Finding the Fourth Proportional to 381,391.84, 572,091.90 and 115,154.56

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Solution

The fourth proportional to 381,391.84, 572,091.90 and 115,154.56 is: 172,733.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,391.84 : 572,091.90 = 115,154.56 : x
  2. Step 2: Convert to fraction form
    381,391.84/572,091.90 = 115,154.56/x
  3. Step 3: Cross multiply
    381,391.84x = 572,091.90 × 115,154.56
  4. Step 4: Simplify right side
    381,391.84x = 65,878,991,024.06
  5. Step 5: Solve for x
    x = 65,878,991,024.06/381,391.84
  6. Step 6: Final answer
    x = 172,733.09

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Why These Related Problems?

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