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Finding the Fourth Proportional to 196,463.56, 294,568.56 and 93,825.33

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Solution

The fourth proportional to 196,463.56, 294,568.56 and 93,825.33 is: 140,677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,463.56 : 294,568.56 = 93,825.33 : x
  2. Step 2: Convert to fraction form
    196,463.56/294,568.56 = 93,825.33/x
  3. Step 3: Cross multiply
    196,463.56x = 294,568.56 × 93,825.33
  4. Step 4: Simplify right side
    196,463.56x = 27,637,992,349.62
  5. Step 5: Solve for x
    x = 27,637,992,349.62/196,463.56
  6. Step 6: Final answer
    x = 140,677.45

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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.