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Finding the Fourth Proportional to 354,633.20, 532,022.70 and 118,145.60

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Solution

The fourth proportional to 354,633.20, 532,022.70 and 118,145.60 is: 177,242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,633.20 : 532,022.70 = 118,145.60 : x
  2. Step 2: Convert to fraction form
    354,633.20/532,022.70 = 118,145.60/x
  3. Step 3: Cross multiply
    354,633.20x = 532,022.70 × 118,145.60
  4. Step 4: Simplify right side
    354,633.20x = 62,856,141,105.12
  5. Step 5: Solve for x
    x = 62,856,141,105.12/354,633.20
  6. Step 6: Final answer
    x = 177,242.69

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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.