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Finding the Fourth Proportional to 381,094.56, 571,642.08 and 96,806.46

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Solution

The fourth proportional to 381,094.56, 571,642.08 and 96,806.46 is: 145,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,094.56 : 571,642.08 = 96,806.46 : x
  2. Step 2: Convert to fraction form
    381,094.56/571,642.08 = 96,806.46/x
  3. Step 3: Cross multiply
    381,094.56x = 571,642.08 × 96,806.46
  4. Step 4: Simplify right side
    381,094.56x = 55,338,646,151.84
  5. Step 5: Solve for x
    x = 55,338,646,151.84/381,094.56
  6. Step 6: Final answer
    x = 145,209.75

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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.