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Finding the Fourth Proportional to 242,548.38, 363,150.81 and 123,964.38

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Solution

The fourth proportional to 242,548.38, 363,150.81 and 123,964.38 is: 185,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,548.38 : 363,150.81 = 123,964.38 : x
  2. Step 2: Convert to fraction form
    242,548.38/363,150.81 = 123,964.38/x
  3. Step 3: Cross multiply
    242,548.38x = 363,150.81 × 123,964.38
  4. Step 4: Simplify right side
    242,548.38x = 45,017,765,008.15
  5. Step 5: Solve for x
    x = 45,017,765,008.15/242,548.38
  6. Step 6: Final answer
    x = 185,603.24

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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.