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Finding the Fourth Proportional to 192,711.96, 265,935 and 107,829.12

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Solution

The fourth proportional to 192,711.96, 265,935 and 107,829.12 is: 148,799.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,711.96 : 265,935 = 107,829.12 : x
  2. Step 2: Convert to fraction form
    192,711.96/265,935 = 107,829.12/x
  3. Step 3: Cross multiply
    192,711.96x = 265,935 × 107,829.12
  4. Step 4: Simplify right side
    192,711.96x = 28,675,537,027.20
  5. Step 5: Solve for x
    x = 28,675,537,027.20/192,711.96
  6. Step 6: Final answer
    x = 148,799.99

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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.