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Finding the Fourth Proportional to 219,076.80, 328,615.20 and 78,817.20

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Solution

The fourth proportional to 219,076.80, 328,615.20 and 78,817.20 is: 118,225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,076.80 : 328,615.20 = 78,817.20 : x
  2. Step 2: Convert to fraction form
    219,076.80/328,615.20 = 78,817.20/x
  3. Step 3: Cross multiply
    219,076.80x = 328,615.20 × 78,817.20
  4. Step 4: Simplify right side
    219,076.80x = 25,900,529,941.44
  5. Step 5: Solve for x
    x = 25,900,529,941.44/219,076.80
  6. Step 6: Final answer
    x = 118,225.80

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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.