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Finding the Fourth Proportional to 219,546.21, 329,429.88 and 86,521.95

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Solution

The fourth proportional to 219,546.21, 329,429.88 and 86,521.95 is: 129,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,546.21 : 329,429.88 = 86,521.95 : x
  2. Step 2: Convert to fraction form
    219,546.21/329,429.88 = 86,521.95/x
  3. Step 3: Cross multiply
    219,546.21x = 329,429.88 × 86,521.95
  4. Step 4: Simplify right side
    219,546.21x = 28,502,915,605.87
  5. Step 5: Solve for x
    x = 28,502,915,605.87/219,546.21
  6. Step 6: Final answer
    x = 129,826.50

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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.