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Finding the Fourth Proportional to 223,375.60, 335,063.40 and 198,006.40

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Solution

The fourth proportional to 223,375.60, 335,063.40 and 198,006.40 is: 297,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,375.60 : 335,063.40 = 198,006.40 : x
  2. Step 2: Convert to fraction form
    223,375.60/335,063.40 = 198,006.40/x
  3. Step 3: Cross multiply
    223,375.60x = 335,063.40 × 198,006.40
  4. Step 4: Simplify right side
    223,375.60x = 66,344,697,605.76
  5. Step 5: Solve for x
    x = 66,344,697,605.76/223,375.60
  6. Step 6: Final answer
    x = 297,009.60

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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.