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Finding the Fourth Proportional to 242,431.83, 363,813.66 and 84,660.30

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Solution

The fourth proportional to 242,431.83, 363,813.66 and 84,660.30 is: 127,048.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,431.83 : 363,813.66 = 84,660.30 : x
  2. Step 2: Convert to fraction form
    242,431.83/363,813.66 = 84,660.30/x
  3. Step 3: Cross multiply
    242,431.83x = 363,813.66 × 84,660.30
  4. Step 4: Simplify right side
    242,431.83x = 30,800,573,599.70
  5. Step 5: Solve for x
    x = 30,800,573,599.70/242,431.83
  6. Step 6: Final answer
    x = 127,048.39

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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.