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Finding the Fourth Proportional to 161,404.50, 242,107.96 and 56,223.30

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Solution

The fourth proportional to 161,404.50, 242,107.96 and 56,223.30 is: 84,335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,404.50 : 242,107.96 = 56,223.30 : x
  2. Step 2: Convert to fraction form
    161,404.50/242,107.96 = 56,223.30/x
  3. Step 3: Cross multiply
    161,404.50x = 242,107.96 × 56,223.30
  4. Step 4: Simplify right side
    161,404.50x = 13,612,108,467.47
  5. Step 5: Solve for x
    x = 13,612,108,467.47/161,404.50
  6. Step 6: Final answer
    x = 84,335.37

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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.