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Finding the Fourth Proportional to 150,293.29, 207,405.01 and 81,383.51

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Solution

The fourth proportional to 150,293.29, 207,405.01 and 81,383.51 is: 112,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,293.29 : 207,405.01 = 81,383.51 : x
  2. Step 2: Convert to fraction form
    150,293.29/207,405.01 = 81,383.51/x
  3. Step 3: Cross multiply
    150,293.29x = 207,405.01 × 81,383.51
  4. Step 4: Simplify right side
    150,293.29x = 16,879,346,464.90
  5. Step 5: Solve for x
    x = 16,879,346,464.90/150,293.29
  6. Step 6: Final answer
    x = 112,309.38

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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.