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Finding the Fourth Proportional to 241,261.38, 361,916.91 and 83,489.58

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Solution

The fourth proportional to 241,261.38, 361,916.91 and 83,489.58 is: 125,242.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,261.38 : 361,916.91 = 83,489.58 : x
  2. Step 2: Convert to fraction form
    241,261.38/361,916.91 = 83,489.58/x
  3. Step 3: Cross multiply
    241,261.38x = 361,916.91 × 83,489.58
  4. Step 4: Simplify right side
    241,261.38x = 30,216,290,810.80
  5. Step 5: Solve for x
    x = 30,216,290,810.80/241,261.38
  6. Step 6: Final answer
    x = 125,242.97

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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.