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Finding the Fourth Proportional to 241,295.85, 361,946.54 and 72,817.64

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Solution

The fourth proportional to 241,295.85, 361,946.54 and 72,817.64 is: 109,227.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,295.85 : 361,946.54 = 72,817.64 : x
  2. Step 2: Convert to fraction form
    241,295.85/361,946.54 = 72,817.64/x
  3. Step 3: Cross multiply
    241,295.85x = 361,946.54 × 72,817.64
  4. Step 4: Simplify right side
    241,295.85x = 26,356,090,675.14
  5. Step 5: Solve for x
    x = 26,356,090,675.14/241,295.85
  6. Step 6: Final answer
    x = 109,227.29

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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.