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Finding the Fourth Proportional to 273,805.56, 410,708.08 and 103,059.16

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Solution

The fourth proportional to 273,805.56, 410,708.08 and 103,059.16 is: 154,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,805.56 : 410,708.08 = 103,059.16 : x
  2. Step 2: Convert to fraction form
    273,805.56/410,708.08 = 103,059.16/x
  3. Step 3: Cross multiply
    273,805.56x = 410,708.08 × 103,059.16
  4. Step 4: Simplify right side
    273,805.56x = 42,327,229,730.01
  5. Step 5: Solve for x
    x = 42,327,229,730.01/273,805.56
  6. Step 6: Final answer
    x = 154,588.64

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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.