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Finding the Fourth Proportional to 242,166.78, 363,250.46 and 115,777.30

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Solution

The fourth proportional to 242,166.78, 363,250.46 and 115,777.30 is: 173,666.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,166.78 : 363,250.46 = 115,777.30 : x
  2. Step 2: Convert to fraction form
    242,166.78/363,250.46 = 115,777.30/x
  3. Step 3: Cross multiply
    242,166.78x = 363,250.46 × 115,777.30
  4. Step 4: Simplify right side
    242,166.78x = 42,056,157,482.56
  5. Step 5: Solve for x
    x = 42,056,157,482.56/242,166.78
  6. Step 6: Final answer
    x = 173,666.09

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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.