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Finding the Fourth Proportional to 219,734.40, 329,582.40 and 71,990.40

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Solution

The fourth proportional to 219,734.40, 329,582.40 and 71,990.40 is: 107,979.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,734.40 : 329,582.40 = 71,990.40 : x
  2. Step 2: Convert to fraction form
    219,734.40/329,582.40 = 71,990.40/x
  3. Step 3: Cross multiply
    219,734.40x = 329,582.40 × 71,990.40
  4. Step 4: Simplify right side
    219,734.40x = 23,726,768,808.96
  5. Step 5: Solve for x
    x = 23,726,768,808.96/219,734.40
  6. Step 6: Final answer
    x = 107,979.31

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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.