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Finding the Fourth Proportional to 242,307.84, 363,500.95 and 82,398.05

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Solution

The fourth proportional to 242,307.84, 363,500.95 and 82,398.05 is: 123,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,307.84 : 363,500.95 = 82,398.05 : x
  2. Step 2: Convert to fraction form
    242,307.84/363,500.95 = 82,398.05/x
  3. Step 3: Cross multiply
    242,307.84x = 363,500.95 × 82,398.05
  4. Step 4: Simplify right side
    242,307.84x = 29,951,769,453.15
  5. Step 5: Solve for x
    x = 29,951,769,453.15/242,307.84
  6. Step 6: Final answer
    x = 123,610.40

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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.