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Finding the Fourth Proportional to 242,402.20, 363,165.90 and 214,408.60

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Solution

The fourth proportional to 242,402.20, 363,165.90 and 214,408.60 is: 321,226.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,402.20 : 363,165.90 = 214,408.60 : x
  2. Step 2: Convert to fraction form
    242,402.20/363,165.90 = 214,408.60/x
  3. Step 3: Cross multiply
    242,402.20x = 363,165.90 × 214,408.60
  4. Step 4: Simplify right side
    242,402.20x = 77,865,892,186.74
  5. Step 5: Solve for x
    x = 77,865,892,186.74/242,402.20
  6. Step 6: Final answer
    x = 321,226.01

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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.