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Finding the Fourth Proportional to 242,462.25, 363,684.87 and 73,975.77

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Solution

The fourth proportional to 242,462.25, 363,684.87 and 73,975.77 is: 110,961.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,462.25 : 363,684.87 = 73,975.77 : x
  2. Step 2: Convert to fraction form
    242,462.25/363,684.87 = 73,975.77/x
  3. Step 3: Cross multiply
    242,462.25x = 363,684.87 × 73,975.77
  4. Step 4: Simplify right side
    242,462.25x = 26,903,868,295.60
  5. Step 5: Solve for x
    x = 26,903,868,295.60/242,462.25
  6. Step 6: Final answer
    x = 110,961.06

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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.