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Finding the Fourth Proportional to 219,794.40, 329,691.60 and 160,745.40

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Solution

The fourth proportional to 219,794.40, 329,691.60 and 160,745.40 is: 241,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,794.40 : 329,691.60 = 160,745.40 : x
  2. Step 2: Convert to fraction form
    219,794.40/329,691.60 = 160,745.40/x
  3. Step 3: Cross multiply
    219,794.40x = 329,691.60 × 160,745.40
  4. Step 4: Simplify right side
    219,794.40x = 52,996,408,118.64
  5. Step 5: Solve for x
    x = 52,996,408,118.64/219,794.40
  6. Step 6: Final answer
    x = 241,118.10

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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.