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Finding the Fourth Proportional to 219,215.20, 328,822.80 and 86,051.20

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Solution

The fourth proportional to 219,215.20, 328,822.80 and 86,051.20 is: 129,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,215.20 : 328,822.80 = 86,051.20 : x
  2. Step 2: Convert to fraction form
    219,215.20/328,822.80 = 86,051.20/x
  3. Step 3: Cross multiply
    219,215.20x = 328,822.80 × 86,051.20
  4. Step 4: Simplify right side
    219,215.20x = 28,295,596,527.36
  5. Step 5: Solve for x
    x = 28,295,596,527.36/219,215.20
  6. Step 6: Final answer
    x = 129,076.80

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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.