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Finding the Fourth Proportional to 242,365.94, 363,715 and 84,594.38

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Solution

The fourth proportional to 242,365.94, 363,715 and 84,594.38 is: 126,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,365.94 : 363,715 = 84,594.38 : x
  2. Step 2: Convert to fraction form
    242,365.94/363,715 = 84,594.38/x
  3. Step 3: Cross multiply
    242,365.94x = 363,715 × 84,594.38
  4. Step 4: Simplify right side
    242,365.94x = 30,768,244,921.70
  5. Step 5: Solve for x
    x = 30,768,244,921.70/242,365.94
  6. Step 6: Final answer
    x = 126,949.54

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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.