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Finding the Fourth Proportional to 242,302.24, 363,513.84 and 84,532

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Solution

The fourth proportional to 242,302.24, 363,513.84 and 84,532 is: 126,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,302.24 : 363,513.84 = 84,532 : x
  2. Step 2: Convert to fraction form
    242,302.24/363,513.84 = 84,532/x
  3. Step 3: Cross multiply
    242,302.24x = 363,513.84 × 84,532
  4. Step 4: Simplify right side
    242,302.24x = 30,728,551,922.88
  5. Step 5: Solve for x
    x = 30,728,551,922.88/242,302.24
  6. Step 6: Final answer
    x = 126,819.10

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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.