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Finding the Fourth Proportional to 219,907.80, 329,861.70 and 197,746.20

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Solution

The fourth proportional to 219,907.80, 329,861.70 and 197,746.20 is: 296,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,907.80 : 329,861.70 = 197,746.20 : x
  2. Step 2: Convert to fraction form
    219,907.80/329,861.70 = 197,746.20/x
  3. Step 3: Cross multiply
    219,907.80x = 329,861.70 × 197,746.20
  4. Step 4: Simplify right side
    219,907.80x = 65,228,897,700.54
  5. Step 5: Solve for x
    x = 65,228,897,700.54/219,907.80
  6. Step 6: Final answer
    x = 296,619.30

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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.