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Finding the Fourth Proportional to 219,747.60, 329,621.40 and 120,214.80

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Solution

The fourth proportional to 219,747.60, 329,621.40 and 120,214.80 is: 180,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,747.60 : 329,621.40 = 120,214.80 : x
  2. Step 2: Convert to fraction form
    219,747.60/329,621.40 = 120,214.80/x
  3. Step 3: Cross multiply
    219,747.60x = 329,621.40 × 120,214.80
  4. Step 4: Simplify right side
    219,747.60x = 39,625,370,676.72
  5. Step 5: Solve for x
    x = 39,625,370,676.72/219,747.60
  6. Step 6: Final answer
    x = 180,322.20

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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.