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Finding the Fourth Proportional to 192,301.94, 265,352.82 and 107,435

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Solution

The fourth proportional to 192,301.94, 265,352.82 and 107,435 is: 148,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,301.94 : 265,352.82 = 107,435 : x
  2. Step 2: Convert to fraction form
    192,301.94/265,352.82 = 107,435/x
  3. Step 3: Cross multiply
    192,301.94x = 265,352.82 × 107,435
  4. Step 4: Simplify right side
    192,301.94x = 28,508,180,216.70
  5. Step 5: Solve for x
    x = 28,508,180,216.70/192,301.94
  6. Step 6: Final answer
    x = 148,246.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.