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Finding the Fourth Proportional to 205,564.56, 308,342.04 and 94,756.56

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Solution

The fourth proportional to 205,564.56, 308,342.04 and 94,756.56 is: 142,132.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,564.56 : 308,342.04 = 94,756.56 : x
  2. Step 2: Convert to fraction form
    205,564.56/308,342.04 = 94,756.56/x
  3. Step 3: Cross multiply
    205,564.56x = 308,342.04 × 94,756.56
  4. Step 4: Simplify right side
    205,564.56x = 29,217,431,013.78
  5. Step 5: Solve for x
    x = 29,217,431,013.78/205,564.56
  6. Step 6: Final answer
    x = 142,132.63

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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.