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Finding the Fourth Proportional to 242,385.56, 363,594.95 and 82,396.39

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Solution

The fourth proportional to 242,385.56, 363,594.95 and 82,396.39 is: 123,600.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,385.56 : 363,594.95 = 82,396.39 : x
  2. Step 2: Convert to fraction form
    242,385.56/363,594.95 = 82,396.39/x
  3. Step 3: Cross multiply
    242,385.56x = 363,594.95 × 82,396.39
  4. Step 4: Simplify right side
    242,385.56x = 29,958,911,302.23
  5. Step 5: Solve for x
    x = 29,958,911,302.23/242,385.56
  6. Step 6: Final answer
    x = 123,600.23

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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.