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Finding the Fourth Proportional to 219,251.80, 329,007.30 and 78,992.20

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Solution

The fourth proportional to 219,251.80, 329,007.30 and 78,992.20 is: 118,534.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,251.80 : 329,007.30 = 78,992.20 : x
  2. Step 2: Convert to fraction form
    219,251.80/329,007.30 = 78,992.20/x
  3. Step 3: Cross multiply
    219,251.80x = 329,007.30 × 78,992.20
  4. Step 4: Simplify right side
    219,251.80x = 25,989,010,443.06
  5. Step 5: Solve for x
    x = 25,989,010,443.06/219,251.80
  6. Step 6: Final answer
    x = 118,534.99

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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.