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Finding the Fourth Proportional to 273,080.16, 409,561.92 and 86,047.92

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Solution

The fourth proportional to 273,080.16, 409,561.92 and 86,047.92 is: 129,053.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,080.16 : 409,561.92 = 86,047.92 : x
  2. Step 2: Convert to fraction form
    273,080.16/409,561.92 = 86,047.92/x
  3. Step 3: Cross multiply
    273,080.16x = 409,561.92 × 86,047.92
  4. Step 4: Simplify right side
    273,080.16x = 35,241,951,327.21
  5. Step 5: Solve for x
    x = 35,241,951,327.21/273,080.16
  6. Step 6: Final answer
    x = 129,053.50

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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.