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Finding the Fourth Proportional to 198,577.60, 297,880.80 and 119,521.60

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Solution

The fourth proportional to 198,577.60, 297,880.80 and 119,521.60 is: 179,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,577.60 : 297,880.80 = 119,521.60 : x
  2. Step 2: Convert to fraction form
    198,577.60/297,880.80 = 119,521.60/x
  3. Step 3: Cross multiply
    198,577.60x = 297,880.80 × 119,521.60
  4. Step 4: Simplify right side
    198,577.60x = 35,603,189,825.28
  5. Step 5: Solve for x
    x = 35,603,189,825.28/198,577.60
  6. Step 6: Final answer
    x = 179,291.07

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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.