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Finding the Fourth Proportional to 219,472.20, 329,208.30 and 194,977.80

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Solution

The fourth proportional to 219,472.20, 329,208.30 and 194,977.80 is: 292,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,472.20 : 329,208.30 = 194,977.80 : x
  2. Step 2: Convert to fraction form
    219,472.20/329,208.30 = 194,977.80/x
  3. Step 3: Cross multiply
    219,472.20x = 329,208.30 × 194,977.80
  4. Step 4: Simplify right side
    219,472.20x = 64,188,310,075.74
  5. Step 5: Solve for x
    x = 64,188,310,075.74/219,472.20
  6. Step 6: Final answer
    x = 292,466.70

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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.