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Finding the Fourth Proportional to 242,493.14, 363,739.70 and 74,014.34

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Solution

The fourth proportional to 242,493.14, 363,739.70 and 74,014.34 is: 111,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,493.14 : 363,739.70 = 74,014.34 : x
  2. Step 2: Convert to fraction form
    242,493.14/363,739.70 = 74,014.34/x
  3. Step 3: Cross multiply
    242,493.14x = 363,739.70 × 74,014.34
  4. Step 4: Simplify right side
    242,493.14x = 26,921,952,193.64
  5. Step 5: Solve for x
    x = 26,921,952,193.64/242,493.14
  6. Step 6: Final answer
    x = 111,021.50

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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.