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Finding the Fourth Proportional to 241,277.46, 361,916.19 and 165,301.08

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Solution

The fourth proportional to 241,277.46, 361,916.19 and 165,301.08 is: 247,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,277.46 : 361,916.19 = 165,301.08 : x
  2. Step 2: Convert to fraction form
    241,277.46/361,916.19 = 165,301.08/x
  3. Step 3: Cross multiply
    241,277.46x = 361,916.19 × 165,301.08
  4. Step 4: Simplify right side
    241,277.46x = 59,825,137,076.49
  5. Step 5: Solve for x
    x = 59,825,137,076.49/241,277.46
  6. Step 6: Final answer
    x = 247,951.62

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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.