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Finding the Fourth Proportional to 219,030.80, 328,546.20 and 78,771.20

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Solution

The fourth proportional to 219,030.80, 328,546.20 and 78,771.20 is: 118,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,030.80 : 328,546.20 = 78,771.20 : x
  2. Step 2: Convert to fraction form
    219,030.80/328,546.20 = 78,771.20/x
  3. Step 3: Cross multiply
    219,030.80x = 328,546.20 × 78,771.20
  4. Step 4: Simplify right side
    219,030.80x = 25,879,978,429.44
  5. Step 5: Solve for x
    x = 25,879,978,429.44/219,030.80
  6. Step 6: Final answer
    x = 118,156.80

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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.