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Finding the Fourth Proportional to 273,134.51, 409,687.17 and 104,735.51

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Solution

The fourth proportional to 273,134.51, 409,687.17 and 104,735.51 is: 157,097.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,134.51 : 409,687.17 = 104,735.51 : x
  2. Step 2: Convert to fraction form
    273,134.51/409,687.17 = 104,735.51/x
  3. Step 3: Cross multiply
    273,134.51x = 409,687.17 × 104,735.51
  4. Step 4: Simplify right side
    273,134.51x = 42,908,792,641.97
  5. Step 5: Solve for x
    x = 42,908,792,641.97/273,134.51
  6. Step 6: Final answer
    x = 157,097.66

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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.