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Finding the Fourth Proportional to 242,268.48, 363,435.96 and 82,301.46

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Solution

The fourth proportional to 242,268.48, 363,435.96 and 82,301.46 is: 123,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,268.48 : 363,435.96 = 82,301.46 : x
  2. Step 2: Convert to fraction form
    242,268.48/363,435.96 = 82,301.46/x
  3. Step 3: Cross multiply
    242,268.48x = 363,435.96 × 82,301.46
  4. Step 4: Simplify right side
    242,268.48x = 29,911,310,124.50
  5. Step 5: Solve for x
    x = 29,911,310,124.50/242,268.48
  6. Step 6: Final answer
    x = 123,463.48

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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.