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Finding the Fourth Proportional to 219,235.20, 328,852.80 and 71,491.20

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Solution

The fourth proportional to 219,235.20, 328,852.80 and 71,491.20 is: 107,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,235.20 : 328,852.80 = 71,491.20 : x
  2. Step 2: Convert to fraction form
    219,235.20/328,852.80 = 71,491.20/x
  3. Step 3: Cross multiply
    219,235.20x = 328,852.80 × 71,491.20
  4. Step 4: Simplify right side
    219,235.20x = 23,510,081,295.36
  5. Step 5: Solve for x
    x = 23,510,081,295.36/219,235.20
  6. Step 6: Final answer
    x = 107,236.80

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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.