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Finding the Fourth Proportional to 241,612.80, 362,289.60 and 101,212.80

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Solution

The fourth proportional to 241,612.80, 362,289.60 and 101,212.80 is: 151,764.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,612.80 : 362,289.60 = 101,212.80 : x
  2. Step 2: Convert to fraction form
    241,612.80/362,289.60 = 101,212.80/x
  3. Step 3: Cross multiply
    241,612.80x = 362,289.60 × 101,212.80
  4. Step 4: Simplify right side
    241,612.80x = 36,668,344,826.88
  5. Step 5: Solve for x
    x = 36,668,344,826.88/241,612.80
  6. Step 6: Final answer
    x = 151,764.91

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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.