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Finding the Fourth Proportional to 219,804.20, 329,609.10 and 101,414.60

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Solution

The fourth proportional to 219,804.20, 329,609.10 and 101,414.60 is: 152,077.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,804.20 : 329,609.10 = 101,414.60 : x
  2. Step 2: Convert to fraction form
    219,804.20/329,609.10 = 101,414.60/x
  3. Step 3: Cross multiply
    219,804.20x = 329,609.10 × 101,414.60
  4. Step 4: Simplify right side
    219,804.20x = 33,427,175,032.86
  5. Step 5: Solve for x
    x = 33,427,175,032.86/219,804.20
  6. Step 6: Final answer
    x = 152,077.05

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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.