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Finding the Fourth Proportional to 273,507.39, 410,302.11 and 95,983.14

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Solution

The fourth proportional to 273,507.39, 410,302.11 and 95,983.14 is: 143,989.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,507.39 : 410,302.11 = 95,983.14 : x
  2. Step 2: Convert to fraction form
    273,507.39/410,302.11 = 95,983.14/x
  3. Step 3: Cross multiply
    273,507.39x = 410,302.11 × 95,983.14
  4. Step 4: Simplify right side
    273,507.39x = 39,382,084,866.43
  5. Step 5: Solve for x
    x = 39,382,084,866.43/273,507.39
  6. Step 6: Final answer
    x = 143,989.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.