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Finding the Fourth Proportional to 223,467.60, 335,201.40 and 198,973.20

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Solution

The fourth proportional to 223,467.60, 335,201.40 and 198,973.20 is: 298,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,467.60 : 335,201.40 = 198,973.20 : x
  2. Step 2: Convert to fraction form
    223,467.60/335,201.40 = 198,973.20/x
  3. Step 3: Cross multiply
    223,467.60x = 335,201.40 × 198,973.20
  4. Step 4: Simplify right side
    223,467.60x = 66,696,095,202.48
  5. Step 5: Solve for x
    x = 66,696,095,202.48/223,467.60
  6. Step 6: Final answer
    x = 298,459.80

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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.