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Finding the Fourth Proportional to 242,462.28, 363,684.84 and 73,975.80

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Solution

The fourth proportional to 242,462.28, 363,684.84 and 73,975.80 is: 110,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,462.28 : 363,684.84 = 73,975.80 : x
  2. Step 2: Convert to fraction form
    242,462.28/363,684.84 = 73,975.80/x
  3. Step 3: Cross multiply
    242,462.28x = 363,684.84 × 73,975.80
  4. Step 4: Simplify right side
    242,462.28x = 26,903,876,986.87
  5. Step 5: Solve for x
    x = 26,903,876,986.87/242,462.28
  6. Step 6: Final answer
    x = 110,961.08

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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.