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Finding the Fourth Proportional to 192,598.16, 265,786.11 and 107,709.75

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Solution

The fourth proportional to 192,598.16, 265,786.11 and 107,709.75 is: 148,639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,598.16 : 265,786.11 = 107,709.75 : x
  2. Step 2: Convert to fraction form
    192,598.16/265,786.11 = 107,709.75/x
  3. Step 3: Cross multiply
    192,598.16x = 265,786.11 × 107,709.75
  4. Step 4: Simplify right side
    192,598.16x = 28,627,755,461.57
  5. Step 5: Solve for x
    x = 28,627,755,461.57/192,598.16
  6. Step 6: Final answer
    x = 148,639.82

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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.