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Finding the Fourth Proportional to 273,809.60, 410,708.64 and 126,065.60

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Solution

The fourth proportional to 273,809.60, 410,708.64 and 126,065.60 is: 189,095.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,809.60 : 410,708.64 = 126,065.60 : x
  2. Step 2: Convert to fraction form
    273,809.60/410,708.64 = 126,065.60/x
  3. Step 3: Cross multiply
    273,809.60x = 410,708.64 × 126,065.60
  4. Step 4: Simplify right side
    273,809.60x = 51,776,231,126.78
  5. Step 5: Solve for x
    x = 51,776,231,126.78/273,809.60
  6. Step 6: Final answer
    x = 189,095.75

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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.