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Finding the Fourth Proportional to 150,660.29, 207,859.71 and 86,083.19

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Solution

The fourth proportional to 150,660.29, 207,859.71 and 86,083.19 is: 118,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,660.29 : 207,859.71 = 86,083.19 : x
  2. Step 2: Convert to fraction form
    150,660.29/207,859.71 = 86,083.19/x
  3. Step 3: Cross multiply
    150,660.29x = 207,859.71 × 86,083.19
  4. Step 4: Simplify right side
    150,660.29x = 17,893,226,909.27
  5. Step 5: Solve for x
    x = 17,893,226,909.27/150,660.29
  6. Step 6: Final answer
    x = 118,765.38

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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.