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Finding the Fourth Proportional to 242,004.50, 363,064.16 and 82,077.39

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Solution

The fourth proportional to 242,004.50, 363,064.16 and 82,077.39 is: 123,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,004.50 : 363,064.16 = 82,077.39 : x
  2. Step 2: Convert to fraction form
    242,004.50/363,064.16 = 82,077.39/x
  3. Step 3: Cross multiply
    242,004.50x = 363,064.16 × 82,077.39
  4. Step 4: Simplify right side
    242,004.50x = 29,799,358,655.34
  5. Step 5: Solve for x
    x = 29,799,358,655.34/242,004.50
  6. Step 6: Final answer
    x = 123,135.56

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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.