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Finding the Fourth Proportional to 175,893.20, 264,034.20 and 109,408.40

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Solution

The fourth proportional to 175,893.20, 264,034.20 and 109,408.40 is: 164,233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,893.20 : 264,034.20 = 109,408.40 : x
  2. Step 2: Convert to fraction form
    175,893.20/264,034.20 = 109,408.40/x
  3. Step 3: Cross multiply
    175,893.20x = 264,034.20 × 109,408.40
  4. Step 4: Simplify right side
    175,893.20x = 28,887,559,367.28
  5. Step 5: Solve for x
    x = 28,887,559,367.28/175,893.20
  6. Step 6: Final answer
    x = 164,233.52

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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.