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Finding the Fourth Proportional to 242,801.20, 364,201.80 and 238,135.60

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Solution

The fourth proportional to 242,801.20, 364,201.80 and 238,135.60 is: 357,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,801.20 : 364,201.80 = 238,135.60 : x
  2. Step 2: Convert to fraction form
    242,801.20/364,201.80 = 238,135.60/x
  3. Step 3: Cross multiply
    242,801.20x = 364,201.80 × 238,135.60
  4. Step 4: Simplify right side
    242,801.20x = 86,729,414,164.08
  5. Step 5: Solve for x
    x = 86,729,414,164.08/242,801.20
  6. Step 6: Final answer
    x = 357,203.40

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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.