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Finding the Fourth Proportional to 242,563.20, 363,844.80 and 148,084.80

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Solution

The fourth proportional to 242,563.20, 363,844.80 and 148,084.80 is: 222,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,563.20 : 363,844.80 = 148,084.80 : x
  2. Step 2: Convert to fraction form
    242,563.20/363,844.80 = 148,084.80/x
  3. Step 3: Cross multiply
    242,563.20x = 363,844.80 × 148,084.80
  4. Step 4: Simplify right side
    242,563.20x = 53,879,884,439.04
  5. Step 5: Solve for x
    x = 53,879,884,439.04/242,563.20
  6. Step 6: Final answer
    x = 222,127.20

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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.