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Finding the Fourth Proportional to 265,433.76, 398,025.36 and 96,834.96

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Solution

The fourth proportional to 265,433.76, 398,025.36 and 96,834.96 is: 145,206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,433.76 : 398,025.36 = 96,834.96 : x
  2. Step 2: Convert to fraction form
    265,433.76/398,025.36 = 96,834.96/x
  3. Step 3: Cross multiply
    265,433.76x = 398,025.36 × 96,834.96
  4. Step 4: Simplify right side
    265,433.76x = 38,542,769,814.59
  5. Step 5: Solve for x
    x = 38,542,769,814.59/265,433.76
  6. Step 6: Final answer
    x = 145,206.74

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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.