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Finding the Fourth Proportional to 273,457.36, 410,198.19 and 83,903.86

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Solution

The fourth proportional to 273,457.36, 410,198.19 and 83,903.86 is: 125,859.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,457.36 : 410,198.19 = 83,903.86 : x
  2. Step 2: Convert to fraction form
    273,457.36/410,198.19 = 83,903.86/x
  3. Step 3: Cross multiply
    273,457.36x = 410,198.19 × 83,903.86
  4. Step 4: Simplify right side
    273,457.36x = 34,417,211,506.01
  5. Step 5: Solve for x
    x = 34,417,211,506.01/273,457.36
  6. Step 6: Final answer
    x = 125,859.52

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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.