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Finding the Fourth Proportional to 219,749.60, 329,624.40 and 120,216.80

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Solution

The fourth proportional to 219,749.60, 329,624.40 and 120,216.80 is: 180,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,749.60 : 329,624.40 = 120,216.80 : x
  2. Step 2: Convert to fraction form
    219,749.60/329,624.40 = 120,216.80/x
  3. Step 3: Cross multiply
    219,749.60x = 329,624.40 × 120,216.80
  4. Step 4: Simplify right side
    219,749.60x = 39,626,390,569.92
  5. Step 5: Solve for x
    x = 39,626,390,569.92/219,749.60
  6. Step 6: Final answer
    x = 180,325.20

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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.