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Finding the Fourth Proportional to 242,757.60, 363,261.60 and 164,025.60

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Solution

The fourth proportional to 242,757.60, 363,261.60 and 164,025.60 is: 245,447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,757.60 : 363,261.60 = 164,025.60 : x
  2. Step 2: Convert to fraction form
    242,757.60/363,261.60 = 164,025.60/x
  3. Step 3: Cross multiply
    242,757.60x = 363,261.60 × 164,025.60
  4. Step 4: Simplify right side
    242,757.60x = 59,584,201,896.96
  5. Step 5: Solve for x
    x = 59,584,201,896.96/242,757.60
  6. Step 6: Final answer
    x = 245,447.32

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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.