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Finding the Fourth Proportional to 241,295.22, 361,945.61 and 72,817

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Solution

The fourth proportional to 241,295.22, 361,945.61 and 72,817 is: 109,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,295.22 : 361,945.61 = 72,817 : x
  2. Step 2: Convert to fraction form
    241,295.22/361,945.61 = 72,817/x
  3. Step 3: Cross multiply
    241,295.22x = 361,945.61 × 72,817
  4. Step 4: Simplify right side
    241,295.22x = 26,355,793,483.37
  5. Step 5: Solve for x
    x = 26,355,793,483.37/241,295.22
  6. Step 6: Final answer
    x = 109,226.34

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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.