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Finding the Fourth Proportional to 273,443.76, 410,194.92 and 115,688.16

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Solution

The fourth proportional to 273,443.76, 410,194.92 and 115,688.16 is: 173,544.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,443.76 : 410,194.92 = 115,688.16 : x
  2. Step 2: Convert to fraction form
    273,443.76/410,194.92 = 115,688.16/x
  3. Step 3: Cross multiply
    273,443.76x = 410,194.92 × 115,688.16
  4. Step 4: Simplify right side
    273,443.76x = 47,454,695,536.15
  5. Step 5: Solve for x
    x = 47,454,695,536.15/273,443.76
  6. Step 6: Final answer
    x = 173,544.63

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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.