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Finding the Fourth Proportional to 192,468.40, 288,994.20 and 148,145.20

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Solution

The fourth proportional to 192,468.40, 288,994.20 and 148,145.20 is: 222,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,468.40 : 288,994.20 = 148,145.20 : x
  2. Step 2: Convert to fraction form
    192,468.40/288,994.20 = 148,145.20/x
  3. Step 3: Cross multiply
    192,468.40x = 288,994.20 × 148,145.20
  4. Step 4: Simplify right side
    192,468.40x = 42,813,103,557.84
  5. Step 5: Solve for x
    x = 42,813,103,557.84/192,468.40
  6. Step 6: Final answer
    x = 222,442.25

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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.