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Finding the Fourth Proportional to 192,913.92, 289,341.72 and 74,570.49

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Solution

The fourth proportional to 192,913.92, 289,341.72 and 74,570.49 is: 111,844.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,913.92 : 289,341.72 = 74,570.49 : x
  2. Step 2: Convert to fraction form
    192,913.92/289,341.72 = 74,570.49/x
  3. Step 3: Cross multiply
    192,913.92x = 289,341.72 × 74,570.49
  4. Step 4: Simplify right side
    192,913.92x = 21,576,353,837.84
  5. Step 5: Solve for x
    x = 21,576,353,837.84/192,913.92
  6. Step 6: Final answer
    x = 111,844.46

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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.