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Finding the Fourth Proportional to 242,940.92, 364,068.76 and 114,720.36

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Solution

The fourth proportional to 242,940.92, 364,068.76 and 114,720.36 is: 171,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,940.92 : 364,068.76 = 114,720.36 : x
  2. Step 2: Convert to fraction form
    242,940.92/364,068.76 = 114,720.36/x
  3. Step 3: Cross multiply
    242,940.92x = 364,068.76 × 114,720.36
  4. Step 4: Simplify right side
    242,940.92x = 41,766,099,211.95
  5. Step 5: Solve for x
    x = 41,766,099,211.95/242,940.92
  6. Step 6: Final answer
    x = 171,918.75

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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.