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Finding the Fourth Proportional to 361,376.72, 542,265.96 and 161,689.04

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Solution

The fourth proportional to 361,376.72, 542,265.96 and 161,689.04 is: 242,623.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,376.72 : 542,265.96 = 161,689.04 : x
  2. Step 2: Convert to fraction form
    361,376.72/542,265.96 = 161,689.04/x
  3. Step 3: Cross multiply
    361,376.72x = 542,265.96 × 161,689.04
  4. Step 4: Simplify right side
    361,376.72x = 87,678,462,497.08
  5. Step 5: Solve for x
    x = 87,678,462,497.08/361,376.72
  6. Step 6: Final answer
    x = 242,623.44

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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.