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Finding the Fourth Proportional to 152,633.20, 228,946.20 and 41,825.20

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Solution

The fourth proportional to 152,633.20, 228,946.20 and 41,825.20 is: 62,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,633.20 : 228,946.20 = 41,825.20 : x
  2. Step 2: Convert to fraction form
    152,633.20/228,946.20 = 41,825.20/x
  3. Step 3: Cross multiply
    152,633.20x = 228,946.20 × 41,825.20
  4. Step 4: Simplify right side
    152,633.20x = 9,575,720,604.24
  5. Step 5: Solve for x
    x = 9,575,720,604.24/152,633.20
  6. Step 6: Final answer
    x = 62,736.81

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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.